Home · BITSAT PYQs · Mathematics

BITSAT Mathematics PYQs with solutions

Chapter-wise Mathematics previous year questions for BITSAT: 823 questions in 36 chapters. Largest chapters: Application of Derivatives (67), Sequences and Series (51) and Probability (44). Open any question for options, correct answer and solution.

BITSAT Mathematics PYQs with solutions

BITSAT Mathematics chapters

Application of Derivatives

Sequences and Series

Probability

Three Dimensional Geometry

Functions

Binomial Theorem

Permutation and Combination

Complex Number

Circle

Differential Equations

Straight Lines

Vector Algebra

Area Under Curves

Limits

Quadratic Equation

Definite Integration

Trigonometric Equations

Indefinite Integration

Determinants

Differentiation

Sets and Relations

Matrices

Statistics

Continuity and Differentiability

Inverse Trigonometric Functions

Parabola

Trigonometric Ratios & Identities

Mathematical Reasoning

Basics of Mathematics

Ellipse

Linear Programming

Heights and Distances

Hyperbola

Properties of Triangles

Pair of Lines

Mathematical Induction

Sample Mathematics questions

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 .

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

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=

∫_0^ ∞ (d x)/((x^2+a^2)(x^2+b^2)) is

The value of definite integral ∫_0^ π / 2 ( x) d x is

∫_5^9 ( 3 x^2)/( 3 x^2+ (588-84 x+3 x^2)) d x is equal to

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

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 x^ 2007 +x^ -2007 =

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

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

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

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

If x 1+y +y 1+x =0 , then (d y)/(d x)=

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

At x=(π^2)/(4), (d)/(d x)( ^ -1 ( x )+ ^ -1 (e^x))=

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

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

If x ma + y nb =1 touches the ellipse x^ 2 a^ 2 + y^ 2 b^ 2 =1, then

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

Number of real solution of 5- _2|x| =3- _2|x| is equal to

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

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