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BITSAT Mathematics PYQs with solutions

Chapter-wise Mathematics previous year questions for BITSAT. Open any question for options, correct answer and solution.

823 questions36 chapters

Application of Derivatives

67 PYQs

Sequences and Series

51 PYQs

Probability

44 PYQs

Three Dimensional Geometry

40 PYQs

Functions

39 PYQs

Binomial Theorem

34 PYQs

Permutation and Combination

31 PYQs

Complex Number

30 PYQs

Circle

27 PYQs

Differential Equations

27 PYQs

Straight Lines

27 PYQs

Vector Algebra

25 PYQs

Area Under Curves

24 PYQs

Limits

24 PYQs

Quadratic Equation

24 PYQs

Definite Integration

22 PYQs

Trigonometric Equations

22 PYQs

Indefinite Integration

21 PYQs

Determinants

20 PYQs

Differentiation

20 PYQs

Sets and Relations

20 PYQs

Matrices

19 PYQs

Statistics

19 PYQs

Continuity and Differentiability

18 PYQs

Inverse Trigonometric Functions

18 PYQs

Parabola

17 PYQs

Trigonometric Ratios & Identities

16 PYQs

Mathematical Reasoning

14 PYQs

Basics of Mathematics

12 PYQs

Ellipse

12 PYQs

Linear Programming

11 PYQs

Heights and Distances

7 PYQs

Hyperbola

7 PYQs

Properties of Triangles

7 PYQs

Pair of Lines

4 PYQs

Mathematical Induction

3 PYQs

1

The maximum area of rectangle inscribed in a circle of diameter R is

BITSAT 2024 Solution View → 2

Consider the function f(x)= |x-1| x^2 , then f(x) is

BITSAT 2024 Solution View → 3

The maximum volume (in cu. units) of the cylinder which can be inscribed in a sphere of radius 12 units is

BITSAT 2024 Solution View → 4

The line y=m x bisects the area unclosed by lines x=0, y=0 and x= 3 2 and the curve y=1+4 x-x^2 . Then, the value of m is

BITSAT 2024 Solution View → 5

If a, c, b are in GP, then the area of the triangle formed by the lines a x+b y+c=0 with the coordinates axes is equal to

BITSAT 2024 Solution View → 6

The area enclosed by the curves y=x^3 and y= x is

BITSAT 2024 Solution View → 7

If n is a positive integer, then 2.4^ 2 n+1 +3^ 3 n+1 is divisible by:

BITSAT 2023 Solution View → 8

The solution set of (x-2)^ x^3-6 x+8 >1 is

BITSAT 2023 Solution View → 9

If x, y and z are real numbers, the x²+4 y²+9 z²-6 y z-3 z x-2 x y is always

BITSAT 2020 Solution View → 10

The coefficient of x^2 term in the binomial expansion of ( 1 3 x^ 1 2 +x^ -1 4 )¹⁰ is

BITSAT 2024 Solution View → 11

The coefficient of x^n in the expansion of e^ 7 x +e^x e^ 3 x is

BITSAT 2024 Solution View → 12

The coefficient of the highest power of x in the expansion of (x+ x^2-1 )^8+ (x- x^2-1 )^8

BITSAT 2024 Solution View → 13

The locus of the mid-point of a chord of the circle x^2+y^2=4 , which subtends a right angle at the origin is

BITSAT 2024 Solution View → 14

If p and q be the longest and the shortest distance respectively of the point (-7,2) from any point ( , ) on the curve whose equation is x^2+y^2-10 x-14 y-51=0 , then G.M. of p

BITSAT 2024 Solution View → 15

From a point A (0,3) on the circle (x+2)^2+(y-3)^2=4 , a chord A B is drawn and it is extended to a point Q such that A Q=2 A B . Then the locus of Q is

BITSAT 2024 Solution View → 16

The points represented by the complex number 1+i,-2+3 i, 5 3 i on the argand plane are

BITSAT 2024 Solution View → 17

The modulus of the complex number z such that |z+3-i|=1 and (z)= is equal to

BITSAT 2024 Solution View → 18

If z, z ,-z,- z forms a rectangle of area 2 3 square units, then one such z is

BITSAT 2024 Solution View → 19

Let f be the function defined by f(x)= array cc x^2-1 x^2-2|x-1|-1 , & x 1 1 2 , & x=1 array .

BITSAT 2024 Solution View → 20

If f(x)= array cc x^2 ( x) (1+x) , & x 0 0, & x=0 array . , then at x=0, f(x) is

BITSAT 2024 Solution View → 21

f(x)= array cc 4 & - x - 5 x^2-1 & - 5 x 5 4 & 5 x array . If k is the number of points where f(x) is not differentiable then k-2=

BITSAT 2024 Solution View → 22

₀^ d x (x^2+a^2 ) (x^2+b^2 ) is

BITSAT 2024 Solution View → 23

The value of definite integral ₀^ / 2 ( x) d x is

BITSAT 2024 Solution View → 24

₅^9 3 x^2 3 x^2+ (588-84 x+3 x^2 ) d x is equal to

BITSAT 2024 Solution View → 25

Suppose p, q, r 0 and system of equation gathered (p+a) x+b y+c z=0 a x+(q+b) y+c z=0 gathered a x+b y+(r+c) z=0 , has a non-trivial solution, then the value of a p + b q + c r is

BITSAT 2024 Solution View → 26

If x is a complex root of the equation | array ccc 1 & x & x x & 1 & x x & x & 1 array |+ | array ccc 1-x & 1 & 1 1 & 1-x & 1 1 & 1 & 1-x array |=0 , then x²⁰⁰⁷+x⁻²⁰⁰⁷=

BITSAT 2024 Solution View → 27

The equations x-y+2 z=43 x+y+4 z=6x+y+z=1 have

BITSAT 2024 Solution View → 28

The solution of the differential equation (x+1) d y d x -y=e^ 3 x (x+1)^2 is

BITSAT 2024 Solution View → 29

If d y d x -y _e 2=2^ x ( x-1) _e 2 , then y

BITSAT 2024 Solution View → 30

The integrating factor of x d y d x -y=x^4-3 x is

BITSAT 2023 Solution View → 31

If x 1+y +y 1+x =0 , then d y d x =

BITSAT 2024 Solution View → 32

If y= ⁻¹ ( x -x 1+x^ 3 2 ) , then y^ (1) is equal to

BITSAT 2024 Solution View → 33

At x= ^2 4 , d d x ( ⁻¹( x )+ ⁻¹ (e^x ) )=

BITSAT 2024 Solution View → 34

The eccentricity of the ellipse whose major axis is three times the minor axis is:

BITSAT 2021 Solution View → 35

An ellipse has OB as semi minor axis, F and F ^ its focii and the angle FBF' is a right angle. Then the eccentricity of the ellipse is

BITSAT 2021 Solution View → 36

If x ma + y nb =1 touches the ellipse x² a² + y² b² =1, then

BITSAT 2020 Solution View → 37

Let [x] denote the greatest integer x . If f(x)=[x] and g(x)=|x| , then the value of f (g ( 8 5 ) )-g (f (- 8 5 ) ) is

BITSAT 2024 Solution View → 38

Number of real solution of 5- ₂|x| =3- ₂|x| is equal to

BITSAT 2024 Solution View → 39

f(x)= x [ 2 x ]+ 1 2 , where x is not an integral multiple of and [.] denotes the greatest integer function, is

BITSAT 2024 Solution View → 40

From the top of a cliff 50 m high, the angles of depression of the top and bottom of a tower are observed to be 30^ and 45^ . The height of tower is

BITSAT 2024 Solution View →
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