List of top Mathematics Questions asked in BITSAT

All the words that can be formed using alphabets A, H, L, U and R are written in a dictionary (no alphabet is repeated). Rank of the word RAHUL is
If the sum of odd numbered terms and even numbered terms in the expansion of (x+a)ⁿ are A and B respectively, then the value of (x²-a²)ⁿ is
The locus of the point of intersection of two tangents to the parabola y²=4ax, which are at right angle to one another is
The length of the chord x+y=3 intercepted by the circle x²+y²-2x-2y-2=0 is
The lengths of the tangent drawn from any point on the circle 15x²+15y²-48x+64y=0 to the circles 5x²+5y²-24x+32y+75=0 and 5x²+5y²-48x+64y+300=0 are in the ratio
A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of the point A are
The equation x²-2√(3)xy+3y²-3x+3√(3)y-4=0 represents
The curve y=xeˣ has minimum value equal to
At an extreme point of a function f(x), the tangent to the curve is
The number of integral values of λ for which x²+y²+λ x+(1-λ)y+5=0 is the equation of a circle whose radius exceeds 5, is
The line joining (5,0) to (10cosθ,10sinθ) is divided internally in the ratio 2:3 at P. If θ varies, the locus of P is
Consider the following statements in respect of the function f(x)=x³-1, x∈[-1,1]: I. f(x) is continuous in [-1,1]. II. f(x) has no root in (-1,1). Which of the statements given above is/are correct?
The set of all values of a for which the function f(x)=(a²-3a+2)(cos²x/4-sin²x/4)+(a-1)x is decreasing is
What is the x-coordinate of the point on the curve f(x)=√(x)(7x-6), where the tangent is parallel to the x-axis?
If f(x)= begincases (xlog(cos x))/(log(1+x²)), & x\ne0
0, & x=0 endcases then f(x) is
If \( [x] \) denotes the greatest integer less than or equal to \( x \), and \( -1 < x < 0 < y < 1 < z < 2 \), then the value of the determinant

\( \begin{vmatrix} [x] + 1 & [y] & [z] \\ [x] & [y] + 1 & [z] \\ [x] & [y] & [z] + 1 \end{vmatrix} \)
is
Let alpha₁,alpha₂ and beta₁,beta₂ be the roots of ax²+bx+c=0 and px²+qx+r=0 respectively. If the system alpha₁ x+alpha₂ y=0, beta₁ y+beta₂ z=0 has a non-trivial solution, then
The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is
If the matrix beginpmatrix 1 & 3 & λ+2
2 & 4 & 8
3 & 5 & 10 endpmatrix is singular, then λ=
The fourth term of an A.P. is three times of the first term and the seventh term exceeds the twice of the third term by one. Then the common difference of the progression is
If log a,log b,log c are in A.P. and also log a-log 2b,log 2b-log 3c,log 3c-log a are in A.P., then
If tan(cot x)=cot(tan x), then sin 2x is equal to:
The arithmetic mean of numbers a, b, c, d, e is M. What is the value of (a-M)+(b-M)+(c-M)+(d-M)+(e-M)?
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n respectively are:
The equation $x^2 - 2 \sqrt{3} xy + 3y^2 - 3x + 3 \sqrt{3} y - 4 = 0 $ represents