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Previous year question hub

Trigonometric Functions And Equations - Trigonometry - Mathematics Previous Year Questions

Practice Trigonometric Functions And Equations - Trigonometry - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

16Papers
15Years
72Questions
1Topics

Trigonometric Functions And Equations question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Trigonometric Functions And Equations. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 74 100%

Question type distribution

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

Multiple Choices 70 94.6%
Subjective 4 5.4%

Subject weightage

Top subjects by unique question coverage.

Mathematics
72 Qs

Most asked topics

Top topics across the included previous year papers.

Trigonometry
72 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Trigonometric Functions And Equations
72 Qs

Paper coverage

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

WB JEE 2026
2 Qs
WB JEE 2026
2 Qs
WB JEE 2025
5 Qs
WB JEE 2024
3 Qs
WB JEE 2023
1 Qs
WB JEE 2022
1 Qs
WB JEE 2021
1 Qs
WB JEE 2020
2 Qs
WB JEE 2019
2 Qs
WB JEE 2018
2 Qs
WB JEE 2017
1 Qs
WB JEE 2016
23 Qs
WB JEE 2011
6 Qs
WB JEE 2010
7 Qs
WB JEE 2009
11 Qs
WB JEE 2008
5 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
WB JEE 202620262View paper
WB JEE 202620262View paper
WB JEE 202520255View paper
WB JEE 202420243View paper
WB JEE 202320231View paper
WB JEE 202220221View paper
WB JEE 202120211View paper
WB JEE 202020202View paper
WB JEE 201920192View paper
WB JEE 201820182View paper
WB JEE 201720171View paper
WB JEE 2016201623View paper
WB JEE 201120116View paper
WB JEE 201020107View paper
WB JEE 2009200911View paper
WB JEE 200820085View paper

All Trigonometric Functions And Equations previous year questions

Practice every matching question in batches of 20, with every available option.

1
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
If x is a positive real number different from 1 such that logax, logbx, logcx are in AP, then
A
\(b = {{a + c} \over 2}\)
B
\(b = \sqrt {ac}\)
C
\({c^2} = {(ac)^{{{\log }_a}b}}\)
D
None of these
Open complete paper
2
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
The order of the differential equation of all parabolas whose axis of symmetry along X-axis is
A
2
B
3
C
1
D
None of these
Open complete paper
3
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
Let S be the set of points, whose abscissae and ordinates are natural numbers. Let P \(\in\) S, such that the sum of the distance of P from (8, 0) and (0, 12) is minimum among all elements in S. Then, the number of such points P and S is
A
1
B
3
C
5
D
11
Open complete paper
4
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
The number of ways in which the letters of the word ARRANGE can be permuted such that the R's occur together, is
A
\({{7!} \over {2!2!}}\)
B
\({{7!} \over {2!}}\)
C
\({{6!} \over {2!}}\)
D
5! \(\times\) 2!
Open complete paper
5
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
The area enclosed by \(y = \sqrt {5 - {x^2}}\) and \(y = |x - 1|\) is
A
\(\left( {{{5\pi } \over 4} - 2} \right)\) sq units
B
\(\left( {{{5\pi - 2} \over 2}} \right)\) sq units
C
\(\left( {{{5\pi } \over 4} - {1 \over 2}} \right)\) sq units
D
\(\left( {{\pi \over 2} - 5} \right)\) sq units
Open complete paper
6
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
If z1, z2, z3 are imaginary numbers such that \(|{z_1}|\, = \,|{z_2}|\, = \,|{z_3}|\, = \,\left| {{1 \over {{z_1}}} + {1 \over {{z_2}}} + {1 \over {{z_3}}}} \right|\, = \,1\), then \(|{z_1} + {z_2} + {z_3}|\) is
A
equal to 1
B
less than 1
C
greater than 1
D
equal to 3
Open complete paper
7
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
The value of \(\cos 15^\circ \cos 7{{1^\circ } \over 2}\sin 7{{1^\circ } \over 2}\) is
A
\({1 \over 2}\)
B
\({1 \over 8}\)
C
\({1 \over 4}\)
D
\({1 \over 16}\)
Open complete paper
8
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
If the function f : R \(\to\) R is defined by f(x) = (x2 + 1)35, \(\forall\) x\(\in\)R, then f is
A
one-one but not onto
B
onto but not one-one
C
neither one-one nor onto
D
both one-one and onto
Open complete paper
9
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
Let \(Q = \left[ {\matrix{ \[{\cos {\pi \over 4}} & { - \sin {\pi \over 4}} \cr\] \[{\sin {\pi \over 4}} & {\cos {\pi \over 4}} \cr\] } } \right]\) and \(x = \left[ {\matrix{ \[{{1 \over {\sqrt 2 }}} \cr\] \[{{1 \over {\sqrt 2 }}} \cr\] } } \right]\), then Q3x is equal to
A
\(\left( {\matrix{ 0 \cr 1 \cr } } \right)\)
B
\(\left( {\matrix{ \({ - {1 \over {\sqrt 2 }}} \cr\) \({{1 \over {\sqrt 2 }}} \cr\) } } \right)\)
C
\(\left( {\matrix{ { - 1} \cr 0 \cr } } \right)\)
D
\(\left( {\matrix{ \({ - {1 \over {\sqrt 2 }}} \cr\) \({ - {1 \over {\sqrt 2 }}} \cr\) } } \right)\)
Open complete paper
10
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
\(1 + {}^n{C_1}\cos \theta + {}^n{C_2}\cos 2\theta + ... + {}^n{C_n}\cos n\theta\) equals
A
\({\left( {2\cos {\theta \over 2}} \right)^n}\cos {{n\theta } \over 2}\)
B
\(2{\cos ^2}{{n\theta } \over 2}\)
C
\(2{\cos ^{2n}}{\theta \over 2}\)
D
\({\left( {2{{\cos }^2}{\theta \over 2}} \right)^n}\)
Open complete paper
11
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
The smallest positive root of the equation tan x \(-\) x = 0 lies in
A
\(\left( {0,{\pi \over 2}} \right)\)
B
\(\left( {{\pi \over 2},\pi } \right)\)
C
\(\left( {\pi ,{{3\pi } \over 2}} \right)\)
D
\(\left( {{{3\pi } \over 2},2\pi } \right)\)
Open complete paper
12
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
The locus of the point of intersection of the straight lines \({x \over a} + {y \over b} = K\) and \({x \over a} - {y \over b} = {1 \over K}\), where K is a non-zero real variable, is given by
A
a straight line
B
an ellipse
C
a parabola
D
a hyperbola
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13
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
Angle between the planes x + y + 2z = 6 and 2x \(-\) y + z = 9 is
A
\({\pi \over 4}\)
B
\({\pi \over 6}\)
C
\({\pi \over 3}\)
D
\({\pi \over 2}\)
Open complete paper
14
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
If f(x) is an odd differentiable function defined on (\(-\)\(\infty\), \(\infty\)) such that f'(3) = 2, then f'(\(-\)3) is equal to
A
0
B
1
C
2
D
4
Open complete paper
15
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
The points (\(-\)a, \(-\)b), (a, b), (0, 0) and (a2, ab), a \(\ne\) 0, b \(\ne\) 0 are always
A
collinear
B
vertices of a parallelogram
C
vertices of a rectangle
D
lie on a circle
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16
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
A straight line joining the points (1, 1, 1) and (0, 0, 0) intersects the plane 2x + 2y + z = 10 at
A
(1, 2, 5)
B
(2, 2, 2)
C
(2, 1, 5)
D
(1, 1, 6)
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17
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
The equation x3 \(-\) yx2 + x \(-\) y = 0 represents
A
a hyperbola and two straight lines
B
a straight line
C
a parabola and two straight lines
D
a straight line and a circle
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18
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
\(\int {{{\log \sqrt x } \over {3x}}} dx\) is equal to
A
\({1 \over 3}{(\log \sqrt x )^2} + C\)
B
\({2 \over 3}{(\log \sqrt x )^2} + C\)
C
\({2 \over 3}{(\log x)^2} + C\)
D
\({1 \over 3}{(\log x)^2} + C\)
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19
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
If the first and (2n \(-\) 1)th terms of an AP, GP and HP are equal and their nth terms are respectively a, b, c, then always
A
a = b = c
B
a \(\ge\) b \(\ge\) c
C
a + c = b
D
ac \(-\) b2 = 0
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20
2016 · Mathematics · Trigonometry · Trigonometric Functions And Equations
WB JEE 2016
If the parabola x2 = ay makes an intercept of length \(\sqrt {40}\) units on the line y \(-\) 2x = 1, then, a is equal to
A
1
B
\(-\)2
C
\(-\)1
D
2
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Showing 20 of 72 questions