Exam Details
KCET 2017
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180
Duration
180 mins
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KCET - Previous Year Papers
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180questions
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179
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PYP
KCET 2017
A substance of mass 49.53 g occupies $1.5 \mathrm{~cm}^3$ of volume. The density of the substance (in $\mathrm{g} \mathrm{cm}^{-3}$ ) with correct number of significant figures is
PYP
KCET 2017
A body of the mass 50 kg is suspended using a spring balance inside a lift at rest. If the lift starts falling freely, the reading of the spring balance is
PYP
KCET 2017
By passing electric current, $\mathrm{NaClO}_3$ is converted in to $\mathrm{NaClO}_4$ according to the following equation
$$ \mathrm{NaClO}_3+\mathrm{H}_2 \mathrm{O} \longrightarrow \mathrm{NaClO}_4+\mathrm{H}_2 $$
How many moles of $\mathrm{NaClO}_4$ will be formed when three Faradays of charges is passed through $\mathrm{NaClO}_3$ ?
PYP
KCET 2017
Which of the following order is true regarding the acidic nature of phenol?
PYP
KCET 2017
If $f(x)=\left\{\begin{array}{cll}k x^2 & \text { if } & x \leq 2 \\ 3 & \text { if } & x>2\end{array}\right.$ is continuous at $x=2$, then the value of $k$ is
PYP
KCET 2017
The range of $\sec ^{-1} x$ is
PYP
KCET 2017
If $y=\log (\log x)$, then $\frac{d^2 y}{d x^2}$ is equal to
PYP
KCET 2017
If $\mathbf{A}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}$ is perpendicular to $\mathbf{B}=4 \hat{\mathbf{j}}-4 \hat{\mathbf{i}}+\alpha \hat{\mathbf{k}}$, then the value of $\alpha$ is
PYP
KCET 2017
The derivative of $\cos ^{-1}\left(2 x^2-1\right)$ w.r.t. $\cos ^{-1} x$ is
PYP
KCET 2017
Two simple pendulums $A$ and $B$ are made to oscillate simultaneously and it is found that $A$ completes 10 oscillations in 20 sec and $B$ completes 8 oscillations in 10 sec . The ratio of the length of $A$ and $B$ is
PYP
KCET 2017
The angle between velocity and acceleration of a particle describing uniform circular motion is
PYP
KCET 2017
A motor pump lifts 6 tonnes of water from a well of depth 25 m to the first floor of height 35 m from the ground floor in 20 minutes. The power of the pump (in kW ) is $\left[g=10 \mathrm{~ms}^{-2}\right.$ ]
PYP
KCET 2017
Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls when in air
PYP
KCET 2017
A car moving with a velocity of $20 \mathrm{~ms}^{-1}$ stopped at a distance of 40 m . If the same car is travelling at double the velocity, the distance travelled by it for same retardation is
PYP
KCET 2017
The value of acceleration due to gravity at a depth of 1600 km is equal to
PYP
KCET 2017
'Hydraulic lift' works on the basis of
PYP
KCET 2017
The mean energy of a molecule of an ideal gas is
PYP
KCET 2017
'Young's modulus' is defined as the ratio of
PYP
KCET 2017
For which combination of working temperatures, the efficiency of Carnot's engine is the least?
PYP
KCET 2017
The waves set up in a closed pipe are
PYP
KCET 2017
The S.I. unit of specific heat capacity is
PYP
KCET 2017
In a system of two crossed polarisers, it is found that the intensity of light from the second polariser is half from that of first polariser. The angle between their pass axes is
PYP
KCET 2017
A linear object of height 10 cm is kept in front of a concave mirror of radius of curvature 15 cm , at a distance of 10 cm . The image formed is
PYP
KCET 2017
During scattering of light, the amount of scattering in inversely proportional to................ of wavelength of light.
PYP
KCET 2017
According to cartesian sign convention, in ray optics
PYP
KCET 2017
In Young's double-slit experiment, if yellow light is replaced by blue light, the interference fringes becomes
PYP
KCET 2017
According to Huygens' principle, during refraction of light from air to a denser medium
PYP
KCET 2017
A magnetic dipole of magnetic moment $6 \times 10^{-2}$ A-m ${ }^2$ and moment of inertia $12 \times 10^{-6} \mathrm{~kg}-\mathrm{m}^2$ performs oscillations in a magnetic field of $2 \times 10^{-2} \mathrm{~T}$. The time taken by the dipole to complete 20 oscillations is ( $\pi \approx 3$ )
PYP
KCET 2017
A proton, a deuteron and an $\alpha$-particle are projected perpendicular to the direction of a uniform magnetic field with same kinetic energy. The ratio of the radii of the circular paths described by them is
PYP
KCET 2017
A straight wire of length 50 cm carrying a current of 2.5 A is suspended in mid-air by a uniform magnetic field of 0.5 T (as shown in figure). The mass of the wire is ( $g=10 \mathrm{~ms}^{-2}$ )
PYP
KCET 2017
The magnetic field at the centre of a current carrying loop of radius 0.1 m is $5 \sqrt{5}$ times that at a point along its axis. The distance of this point from the centre of the loop is
PYP
KCET 2017
If $\mathbf{E}$ and $\mathbf{B}$ represent electric and magnetic field vectors of an electromagentic wave, the direction of propagation of the wave is along
PYP
KCET 2017
The susceptibility of a ferromagnetic substance is
PYP
KCET 2017
A jet plane of wing span 20 m is travelling towards west at a speed of $400 \mathrm{~ms}^{-1}$. If the earth's total magnetic field is $4 \times 10^{-4} \mathrm{~T}$ and the dip angle is $30^{\circ}$, at that place, then the voltage differences developed across the ends of the wing is
PYP
KCET 2017
Two point charges $A=+3 \mathrm{nC}$ and $B=+1 \mathrm{nC}$ are placed 5 cm apart in air. The work done to move charge $B$ towards $A$ by 1 cm is
PYP
KCET 2017
A bar magnet is allowed to fall vertically through a copper coil placed in a horizontal plane. The magnet falls with a net acceleration, is
PYP
KCET 2017
Two spheres of electric charges +2 nC and -8 nC are placed at a distance $d$ apart. If they are allowed to touch each other, what is the new distance between them to get a repulsive force of same magnitude as before?
PYP
KCET 2017
Which of the following properties is 'False' for a bar magnet?
PYP
KCET 2017
The working of magnetic braking of trains is based on
PYP
KCET 2017
Of the following graphs, the one that correctly represents the $I-V$ characteristics of a 'Ohmic device' is
PYP
KCET 2017
A piece of copper is to be shaped into a conducting wire of maximum resistance. The suitable length and diameter are ......................and............................respectively.
PYP
KCET 2017
The power dissipated in $3 \Omega$ resistance in the following circuit is
PYP
KCET 2017
A galvanometer of resistance $50 \Omega$ is connected to a battery of $3 \cdot \mathrm{~V}$ along with a${ }^{\text { }}$ resistance of $2950 \Omega$ in series shows full-scale deflection of 30 divisions. The additional series resistance required to reduce the deflection to 20 divisions is
PYP
KCET 2017
A cylindrical conductor of diameter 0.1 mm carries a current of 90 mA . The current density ( in $\mathrm{Am}^{-2}$ ) is ( $\pi \approx 3$ )
PYP
KCET 2017
Three point charges of $+2 q,+2 q$ and $-4 q$ are placed at the corners $A, B$ and $C$ of an equilateral triangle $A B C$ of side $x$. The magnitude of the electric dipole moment of this system is
PYP
KCET 2017
In meter bridge experiment, with a standard resistance in the right gap and a resistance coil dipped in water (in a beaker) in the left gap, the balancing length obtained is ' $l$ '. If the temperature of water is increased, the new balancing
PYP
KCET 2017
A coil of inductive reactance $1 / \sqrt{3} \Omega$ and resistance $1 \Omega$ is connected to a $200 \mathrm{~V}, 50 \mathrm{~Hz}$ AC supply. The time lag between maximum voltage and current is
PYP
KCET 2017
The minimum value of effective capacitance that can be obtained by combining 3 capacitors of capacitances $1 \mathrm{pF}, 2 \mathrm{pF}$ and 4 pF
PYP
KCET 2017
In the A.C. circuit shown, keeping ' $K$ ' pressed, if an iron rod inserted into the coil, the bulb in the circuit,
PYP
KCET 2017
$$ \text { The value of } I \text { in the figure shown below is } $$
PYP
KCET 2017
A system of two capacitors of capacitance $2 \mu \mathrm{~F}$ and $4 \mu \mathrm{~F}$ is connected in series across a potential difference of 6 V . The electric charge and energy stored in a system are
PYP
KCET 2017
The mass defect of ${ }_2^4 \mathrm{He}$ is 0.03 u . The binding energy per nucleon of helium (in MeV) is
PYP
KCET 2017
In a nuclear reactor, the function of the moderator is to decreases
PYP
KCET 2017
The scientist who is credited with the discovery of 'nucleus' in an atom is
PYP
KCET 2017
The particle emitted in the decay of ${ }_{92}^{238} \mathrm{U}$ to ${ }_{92}^{234} \mathrm{U}$
PYP
KCET 2017
The energy (in eV ) required to excite an electron from $n=2$ to $n=4$ state in hydrogen atom is
PYP
KCET 2017
The output of a step down transformers is measured to be 48 V when connected to a 12 W bulb. The value of peak current is
PYP
KCET 2017
Which of the following semi-conducting device is used as voltage regulator?
PYP
KCET 2017
In the three parts of a transistor, 'Emitter' is of
PYP
KCET 2017
The energy gap in case of which of the following is less than 3 eV ?
PYP
KCET 2017
From the following graph of photo current against collector plate potential, for two different intensities of light $I_1$ and $I_2$, one can conclude
PYP
KCET 2017
A particle is dropped from a height $H$. The de-Broglie wavelength of the particle depends on height as
PYP
KCET 2017
In the figure shown, if the diode forward voltage drop is 0.2 V , the voltage difference between $A$ and $B$ is
PYP
KCET 2017
A basic communication system consists of
(i) Transmitter
(ii) Information sources
(iii) User of information
(iv) Channel
(v) Receiver
PYP
KCET 2017
The correct set of quantum number for the unpaired electrons of chlorine atom is
PYP
KCET 2017
The pressure of real gases is less than that of ideal gas because of
PYP
KCET 2017
Select wrong chemical reaction among the following.
PYP
KCET 2017
Which of the following logic gate is universal gate
PYP
KCET 2017
If $3.01 \times 10^{20}$ molecules are removed from 98 mg of $\mathrm{H}_2 \mathrm{SO}_4$, then number of moles of $\mathrm{H}_2 \mathrm{SO}_4$ left are
PYP
KCET 2017
The equilibrium constant for the reaction $\mathrm{N}_2(g)+\mathrm{O}_2(g) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g})$ is $4 \times 10^{-4}$ at 2000 K . In presence of a catalyst the equilibrium is attained ten times faster. Therefore the equilibrium constant in presence of catalyst 2000 K is
PYP
KCET 2017
The reaction quotient ' $Q$ ' is useful inpredicting the direction of the reaction. Which of the following is incorrect?
PYP
KCET 2017
A reaction has both $\Delta H$ and $\Delta S$ -ve. The rate of reaction
PYP
KCET 2017
The, vant Hoff's factor ' $\boldsymbol{i}$ ' accounts for
PYP
KCET 2017
When the pure solvent diffuses out of the solution through the semi-permeable membrane then the process is called
PYP
KCET 2017
Which of the following aqueous solution has highest freezing point?
PYP
KCET 2017
The process which is responsible for the formation of delta at a place where rivers meets the sea is
PYP
KCET 2017
Which of the following is not a favourable condition for physical adsorption?
PYP
KCET 2017
$3 \mathrm{ClO}^{-}(a q) \longrightarrow \mathrm{ClO}^{-}+2 \mathrm{Cl}^{-}$is an example of
PYP
KCET 2017
Pick the correct statement among the following statement.
PYP
KCET 2017
Hydrogenation of vegetable oils in presence of finely divided nickel as catalyst.The reaction is
PYP
KCET 2017
Extraction of chlorine from brine solution is based on
PYP
KCET 2017
The standard reduction potential at 298 K for the following half cell reaction
$$ \begin{aligned} & 2 \mathrm{n}^{2+}(a q)+2 e^{-} \rightarrow \mathrm{Zn}(s) ; E^0=-0.762 \mathrm{~V} \\ & \mathrm{Cr}^{3+}(a q)+3 e^{-} \rightarrow \mathrm{Cr}(s) ; E^0=0.740 \mathrm{~V} \\ & 2 \mathrm{H}^{+}(a q)+2 e^{-} \rightarrow \mathrm{Hz}(g) ; E^0=0.0 \mathrm{~V} \\ & \mathrm{~F}_2(g)+2 e^{-} \rightarrow 2 \mathrm{~F}^{-}(a q) ; E^0=2.87 \mathrm{~V} \end{aligned} $$
Which of the following is strongest reducing agent?
PYP
KCET 2017
For a reaction $\frac{1}{2} A \rightarrow 2 B$ rate of disappearance of $A$ is related to rate of appearance of $B$ by the expression
PYP
KCET 2017
Which of the following crystal has unit cell such that $a \neq b \neq c$ and $\alpha \neq \beta \neq \gamma \neq 90^{\circ}$ ?
PYP
KCET 2017
The correct statement regarding defect in solids is
PYP
KCET 2017
In a face centred cubic arrangement of $A$ and $B$ atoms in which ' $A$ ' atoms are at the corners of the unit cell and ' $B$ ' atoms are at the face centres. One of the ' $A$ ' atoms is missing from one corner in unit cell.The simplest formula of compounds is
PYP
KCET 2017
In the electrolysis of aqueous sodium chloride solution, which of the half cell reaction will occur at anode?
PYP
KCET 2017
Which one of the following noble gas has an unusual property of diffusing through the materials such as rubber, glass or plastic?
PYP
KCET 2017
The electronegativities of $\mathrm{C}, \mathrm{N}, \mathrm{Si}$ and P are in the order of
PYP
KCET 2017
Which of the following structure of a molecule is expected to have three bond pairs and one lone pair of electrons?
PYP
KCET 2017
Which of the following is correct electron dot structure of $\mathrm{N}_2 \mathrm{O}$ molecule?
PYP
KCET 2017
Which of the following elements forms $p_\pi-p_\pi$ bond with itself?
PYP
KCET 2017
Which of the following statement is incorrect?
PYP
KCET 2017
Which of the following metallic oxide exhibit amphoteric nature?
PYP
KCET 2017
Plaster of Paris is represented as
PYP
KCET 2017
In the manufacture of hydrogen from water gas $\left(\mathrm{CO}+\mathrm{H}_2\right)$, which of the following is correct statement?
PYP
KCET 2017
The metal extracted by leaching with a cyanide is
PYP
KCET 2017
Addition of mineral acid to an aqueous solution of borax, the following compound is formed
PYP
KCET 2017
Which of the following statement is wrong regarding lanthanoids?
PYP
KCET 2017
The coordination number and the oxidation state of the. element ' $M$ ' in the complex $\left[\mathrm{M}(e n)_2\left(\mathrm{C}_2 \mathrm{O}_4\right)\right] \mathrm{NO}_2$ {where (en) is ethan1, 2-diamine) are respectively
PYP
KCET 2017
Square planar complex of the type $M_{\text {AXBL }}$ (where $A, B, X$ and $L$ ) are unidenate ligands shows following set of isomers
PYP
KCET 2017
According to crystal field theory, the $M-L$ bond in a complex is
PYP
KCET 2017
In which of the following, homolytic bond fission takes place?
PYP
KCET 2017
The magnetic nature of elements depends on the presence of unpaired electrons. Identify the configuration of transition elements which shows highest magnetic moment?
PYP
KCET 2017
Which one of the following is not a common component of photo-chemical smog?
PYP
KCET 2017
The product formed during the following reaction are
PYP
KCET 2017
Identify the correct statement in the following.
PYP
KCET 2017
Toluene reacts with halogen in presence of iron (III) chloride giving ortho and para halo compounds. The reaction is
PYP
KCET 2017
In the following sequence of reactions
$$ \mathrm{CH}_3 \mathrm{Br} \xrightarrow{\mathrm{KCN}} A \xrightarrow{\mathrm{H}_3 \mathrm{O}^{-}} B \xrightarrow{\mathrm{LiAl} / \mathrm{H}_4} $$
The end product $C$ is
PYP
KCET 2017
Which of the following reagent cannot be used to oxidise primary alcohols to aldehydes?
PYP
KCET 2017
For the preparation of alkanes, aqueous solution of sodium of potassium salt of carboxylic acid is subjected to
PYP
KCET 2017
Cannizzaro's reaction is an example of auto oxidation
PYP
KCET 2017
The correct order of increasing basic nature for the bases $\mathrm{NH}_3, \mathrm{CH}_3 \mathrm{NH}_2$ and $\left(\mathrm{CH}_3\right)_2 \mathrm{NH}$ in aqueous solutions
PYP
KCET 2017
Galbriel phthalimide synthesis is used in the preparation of primary amine from phthalimide, which of the following reagent is not used during the process?
PYP
KCET 2017
Lower members of aliphatic carboxylic acid are soluble in water. This is due to
PYP
KCET 2017
Reduction of ketones cannot be carried out with which of the following reagents?
PYP
KCET 2017
Which of the following is not a biodegradable polymer?
PYP
KCET 2017
Hormones are secreted by ductless glands of human body. Iodine containing hormone is
PYP
KCET 2017
The glycosidic linkage present in sucrose is between
PYP
KCET 2017
Bactericidal antibiotics among the following is
PYP
KCET 2017
Pick the wrong statements from the following.
PYP
KCET 2017
$3+5+7+\ldots$ to $n$ terms is
PYP
KCET 2017
The monomer used in novolac, a polymer used in paints
PYP
KCET 2017
If $A$ and $B$ are finites sets and $A \subset B$, then
PYP
KCET 2017
If ${ }^n C_{12}={ }^n C_8$, then $n$ is equal to
PYP
KCET 2017
Two events $A$ and $B$ will be independent if
PYP
KCET 2017
The total number of terms in the expansion of $(x+a)^{47}-(x-a)^{47}$ after simplification is
PYP
KCET 2017
A box has 100 pens of which 10 are defective. The probability that out of a sample of 5 pens drawn one by one with replacement and atmost one is defective, is
PYP
KCET 2017
The probability distribution of $X$ is
$$ \begin{array}{|c|l|c|c|c|} \hline \boldsymbol{X} & 0 & 1 & 2 & 3 \\ \hline \boldsymbol{P}(\boldsymbol{X}) & 0.3 & k & 2 k & 2 k \\ \hline \end{array} $$
$$ \text { The value of } k \text { is } $$PYP
KCET 2017
If $a$ and $\mathbf{b}$ are unit vectors, then angle between $\mathbf{a}$ and $\mathbf{b}$ for $\sqrt{3} \mathbf{a}-\mathbf{b}$ to be unit vector is
PYP
KCET 2017
If $\mathbf{a}, \mathbf{b}, \mathbf{c}$ are unit vectors such that $a+b+c=0$, then the value of $\mathbf{a} \cdot \mathbf{b}+\mathbf{b} \cdot \mathbf{c}+\mathbf{c} \cdot \mathbf{a}$ is equal to
PYP
KCET 2017
If $\mathbf{a}=2 \hat{\mathbf{i}}+\lambda \hat{\mathbf{j}}+\hat{\mathbf{k}}$ and $\mathbf{b}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}$ are orthogonal, then value of $\lambda$ is
PYP
KCET 2017
The plane $2 x-3 y+6 z-11=0$ makes an angle $\sin ^{-1}(\alpha)$ with $X$-axis, the value of $\alpha$ is equal to
PYP
KCET 2017
The perpendicular distance of the point $P(6,7,8)$ from $X Y$-plane is
PYP
KCET 2017
The distance of the point $(-2,4,-5)$ from the line $\frac{x+3}{3}=\frac{y-4}{5}=\frac{z+8}{6}$ is
PYP
KCET 2017
If $\left|\begin{array}{ll}3 & x \\ x & 1\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & 1\end{array}\right|$, then $x$ is equal to
PYP
KCET 2017
Reflexion of the point $(\alpha, \beta, \gamma)$ in $X Y$-plane is
PYP
KCET 2017
$$
\text { } \begin{aligned}
Let\,\,\,\Delta & =\left|\begin{array}{lll}
A x & x^2 & 1 \\
B y & y^2 & 1 \\
C z & z^2 & 1
\end{array}\right| \text { and }
\Delta_1 =\left|\begin{array}{ccc}
A & B & C \\
x & y & z \\
z y & z x & x y
\end{array}\right| \text {, then }\left|\begin{array}{ccc}
A x & B y & C y \\
x^2 & y^2 & z^2 \\
1 & 1 & 1
\end{array}\right|
\end{aligned}
$$
PYP
KCET 2017
If $A=\frac{1}{\pi}\left|\begin{array}{ll}\sin ^{-1}(\pi x) & \tan ^{-1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & \cot ^{-1}(\pi x)\end{array}\right|$
$B=\left|\begin{array}{cc}-\cos ^{-1}(\pi x) & \tan ^{-1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & -\tan ^{-1}(\pi x)\end{array}\right|$,
then $A-B$ is :
PYP
KCET 2017
If $A$ is a square matrix of order $3 \times 3$, then $|K A|$ is equal to
PYP
KCET 2017
If $2\left|\begin{array}{ll}1 & 3 \\ 0 & x\end{array}\right|+\left|\begin{array}{ll}y & 0 \\ 1 & 2\end{array}\right|=\left|\begin{array}{ll}5 & 6 \\ 1 & 8\end{array}\right|$, then the value of $x$ and $y$ are
PYP
KCET 2017
If an LPP admits optimal solution at two consecutive vertices of a feasible region, then
PYP
KCET 2017
If a matrix $A$ is both symmetric and skew symmetric, then
PYP
KCET 2017
The shaded region in the figure is the solution set of the inequations
PYP
KCET 2017
If $\left(\frac{1+i}{1-i}\right)^m=1$, then the least positive integral value of $m$ is
PYP
KCET 2017
If coefficient of variation is 60 and standard deviation is 24 , then Arithmetic mean is
PYP
KCET 2017
The contrapositive statement of the statement "If $x$ is prime number, then $x$ is odd" is
PYP
KCET 2017
The area of triangle with vertices $(K, 0),(4,0)$, $(0,2)$ is 4 sq units, then value of $K$ is
PYP
KCET 2017
If $\tan ^{-1} x+\tan ^{-1} y=\frac{4 \pi}{5}$, then $\cot ^{-1} x+\cot ^{-1} y$ is equal to
PYP
KCET 2017
The value of $\cos ^2 45^{\circ}-\sin ^2 15^{\circ}$ is
PYP
KCET 2017
Let $f: R \rightarrow R$ be defined by $f(x)=x^4$, then
PYP
KCET 2017
Area of the region bounded by the curve $y=\cos x, x=0$ and $x=\pi$ is
PYP
KCET 2017
The area of the region bounded by the curve $y=x^2$ and the line $y=16$
PYP
KCET 2017
If $|x-2| \leq 1$, then
PYP
KCET 2017
$$The\,\,value\,\,of\,\,\mathop {\lim }\limits_{\theta \to 0} {{1 - \cos 4\theta } \over {1 - \cos 6\theta }}\,\,is$$
PYP
KCET 2017
Binary operation * on $R-\{-1\}$ defined by $a^* b=\frac{a}{b+1}$ is
PYP
KCET 2017
If $f(x)=8 x^3, g(x)=x^{1 / 3}$, then $f \circ g(x)$ is
PYP
KCET 2017
$$ \int \sqrt{x^2+2 x+5} d x \text { is equal to } $$
PYP
KCET 2017
The range of the function $f(x)=\sqrt{9-x^2}$ is
PYP
KCET 2017
If $\sin x=\frac{2 t}{1+t^2}, \tan y+\frac{2 t}{1-t^2}$, then $\frac{d y}{d x}$ is equal to
PYP
KCET 2017
General solution of differential equations
$\frac{d y}{d x}+y=1(y \neq 1)$ is
PYP
KCET 2017
$\int \frac{\cos 2 x-\cos 2 \theta}{\cos x-\cos \theta} d x$ is equal to
PYP
KCET 2017
$$ \text { If } y=\left|\begin{array}{ccc} f(x) & g(x) & h(x) \\ l & m & n \\ a & b & c \end{array}\right| \text {, then } \frac{d y}{d x} \text { is equal to } $$
PYP
KCET 2017
The degree of the differential equation $\left[1+\left(\frac{d y}{d x}\right)^2\right]^2=\frac{d^2 y}{d x^2}$ is
PYP
KCET 2017
$\int \frac{(x+3) e^x}{(x+4)^2} d x$ is equal to
PYP
KCET 2017
The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is
PYP
KCET 2017
The value of $c$ in mean value theorem for the function $f(x)=x^2$ in $[2,4]$ is
PYP
KCET 2017
The function $f(x)=x^2+2 x-5$ is strictly increasing in the interval
PYP
KCET 2017
$\int\limits_{-5}^5|x+2| d x$ is equal to
PYP
KCET 2017
The integrating factor of the differential equation
$x \cdot \frac{d y}{d x}+2 y=x^2$ is $(x \neq 0)$
PYP
KCET 2017
The point on the curve $y^2=x$ where the tangent makes an angle of $\pi / 4$ with $X$-axis is
PYP
KCET 2017
Equation of line passing through the point $(1,2)$ and perpendicular to the line $y=3 x-1$
PYP
KCET 2017
$$ \int\limits_0^{\pi / 2} \frac{1}{a^2 \cdot \sin ^2 x+b^2 \cdot \cos ^2 x} d x $$
PYP
KCET 2017
$$ \int\limits_{-\pi / 2}^{\pi / 2} \frac{d x}{e^{\sin x}+1} $$
PYP
KCET 2017
$\int\limits_{0.2}^{3.5}[x] d x$ is equal to :
PYP
KCET 2017
$\int\limits_0^{\pi / 2} \frac{\tan ^7 x}{\cot ^7 x+\tan ^7 x} d x$ is equal to
PYP
KCET 2017
The eccentricity of the ellipse $\frac{x^2}{36}+\frac{y^2}{16}=1$ is
PYP
KCET 2017
Which of the following statement is in accordance with the Arrhenius equations?
PYP
KCET 2017
If $y=\tan ^{-1}\left(\frac{\sin x+\cos x}{\cos x-\sin x}\right)$, then $\frac{d y}{d x}$ is equal to
Showing 5 of 179 questions