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Previous year question hub

Calculus - Mathematics Previous Year Questions

Practice Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

6Papers
1Years
88Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Calculus. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 109 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 109 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
88 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
88 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Indefinite Integration
16 Qs
Differential Equations
14 Qs
Application Of Derivatives
14 Qs
Limits Continuity And Differentiability
10 Qs
Functions
10 Qs
Differentiation
10 Qs
Definite Integration
10 Qs
Area Under The Curves
4 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

TS EAMCET 2020 (Online) 11th September Morning Shift
22 Qs
TS EAMCET 2020 (Online) 14th September Evening Shift
22 Qs
TS EAMCET 2020 (Online) 11th September Evening Shift
21 Qs
TS EAMCET 2020 (Online) 14th September Morning Shift
21 Qs
TS EAMCET 2020 (Online) 14th September Morning Shift
21 Qs
TS EAMCET 2020 (Online) 10th September Evening Shift
2 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
TS EAMCET 2020 (Online) 10th September Evening Shift20202View paper
TS EAMCET 2020 (Online) 11th September Evening Shift202021View paper
TS EAMCET 2020 (Online) 11th September Morning Shift202022View paper
TS EAMCET 2020 (Online) 14th September Evening Shift202022View paper
TS EAMCET 2020 (Online) 14th September Morning Shift202021View paper
TS EAMCET 2020 (Online) 14th September Morning Shift202021View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2020 · Mathematics · Calculus · Differential Equations
TS EAMCET 2020 (Online) 10th September Evening Shift

Let $f:[2,5] \rightarrow \mathbf{R}$ be a differentiatiable function and $\frac{f(5)}{f(2)}=1$. If there is a $c \in(2,5)$ such that $c f^{\prime}(c)=2 f(c)-2 c^3$, then $f(x)=$

A

$-2 x^3+\frac{78}{7} x^2$

B

$x^3-8 x^2+17 x-10$

C

$x^3-6 x^2+3 x+10$

D

$x^3-7 x^2+10 x$

Open complete paper
2
2020 · Mathematics · Calculus · Differentiation
TS EAMCET 2020 (Online) 11th September Evening Shift

Match the functions of List-I with derivates given in List-II

$$
\[\text { List-I }\]
$$
$$
\[\text { List-II }\]
$$
A. $$
\sec ^{-1} x
$$
I. $$
\[\frac{1}{1-x^2}, x \in(-1,1)\]
$$
B. $$
\tanh ^{-1} x
$$
II. $$
\[\frac{-1}{|x| \sqrt{x^2+1}}, x \neq 0\]
$$
C. $$
\[\operatorname{coth}^{-1} x\]
$$
III. $$
\[\frac{1}{|x| \sqrt{x^2-1}},|x|>1\]
$$
D. $$
\[\operatorname{cosech}^{-1} x\]
$$
IV. $$
\[\frac{1}{1-x^2}, x \in \mathbf{R}-[-1,1]\]
$$
V. $$
\[\frac{-1}{|x| \sqrt{1-x^2}},|x|<1, x \neq 0\]
$$
A
A B C D
V II I III
B
A B C D
I III V II
C
A B C D
III I II V
D
A B C D
III I IV II
Open complete paper
3
2020 · Mathematics · Calculus · Differentiation
TS EAMCET 2020 (Online) 11th September Morning Shift

If $x \sqrt{1+y}+y \sqrt{1+x}=0$, then $\frac{d y}{d x}=$

A

$\frac{-1}{(1+x)^2}$

B

$\frac{1}{(1+x)^2}$

C

$\frac{2}{(1+x)^{3 / 2}}$

D

$\frac{-2}{(1+x)^{1 / 2}}$

Open complete paper
4
2020 · Mathematics · Calculus · Differentiation
TS EAMCET 2020 (Online) 14th September Morning Shift

If $\operatorname{Lt}_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}=e^x(x+1)$ and $f(0)=0$, then $\frac{d}{d x}\left(f(x) e^{-x}\right)+\frac{d}{d x}\left(\frac{f(x)}{x}\right)=$

A

$e^x+1$

B

$x^2 e^x+x$

C

$x e^x+1$

D

$x^2 e^x$

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5
2020 · Mathematics · Calculus · Differentiation
TS EAMCET 2020 (Online) 14th September Morning Shift

If $y(x)=\tan ^{-1}\left(\frac{\sqrt{1+a^2 x^2}-1}{a x}\right)$ and $\left(1+a^2 x^2\right) y^{\prime \prime}+g(x) y^{\prime}=0$ then, the sum of the roots of the equation $1+a^2 x^2+g(x)=0$ is

A

$2 a$

B

$-2 a^2$

C

2

D

-2

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6
2020 · Mathematics · Calculus · Differentiation
TS EAMCET 2020 (Online) 14th September Evening Shift

$$\frac{d}{d x}\left[\operatorname{cosech}^{-1}(\tan 2 x)\right]=$$

A

$2|\sec 2 x|$

B

$\cos 2 x$

C

$-2|\operatorname{cosec} 2 x|$

D

$\sin 2 x$

Open complete paper