List of top Mathematics Questions asked in BITSAT

One mapping is selected at random from all mappings of the set S=1,2,3,…,n into itself. The probability that it is one–one is (3)/(32). Then the value of n is
Given the system of straight lines a(2x+y-3)+b(3x+2y-5)=0, the line of the system situated farthest from the point (4,-3) has the equation
The integer just greater than (3+√(5))²n is divisible by (n∈N)
If A, B, C are the angles of a triangle and eⁱA, eⁱB, eⁱC are in A.P., then the triangle must be
Let f and g be functions from R to R defined as
\( f(x) = \begin{cases} 7x^2 + x - 8, & x \le 1 \\ 4x + 5, & 1 < x \le 7 \\ 8x + 3, & x > 7 \end{cases} \)
\( g(x) = \begin{cases} |x|, & x < -3 \\ 0, & -3 \le x < 2 \\ x^2 + 4, & x \ge 2 \end{cases} \)
Then
The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
If α and β are roots of the equation x²+px+(3p)/(4)=0, such that |α-β|=√(10), then p belongs to the set
How many different eight digit numbers can be formed from the number 22335588 by rearranging its digits if odd digits occupy even positions?
If sumk=1ⁿ k(k+1)(k-1)=pn⁴+qn³+tn²+sn, where p,q,t and s are constants, then the value of s is equal to
If the third term in the expansion of [x+x\log_¹⁰ˣ]⁵ is 10⁶, then x may be
A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps he is one step away from the starting point is
If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is
If sumᵣ=0ⁿ(r+2)/(r+1)ⁿCᵣ=(2ⁿ-1)/(6), then n=
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 number of real roots of the equation 3⁹C₃r-1-3⁹Cᵣ²=3⁹Cᵣ²-1-3⁹C₃r is
All the words that can be formed using alphabets A, H, L, U and R are written as in a dictionary (no alphabet is repeated). The 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 parabola having its focus at (3,2) and directrix along the y-axis has its vertex at
The line joining (5,0) to (10cosθ,10sinθ) is divided internally in the ratio 2:3 at point P. If θ varies, the locus of P 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 cannot exceed 5, is
The length of the chord x+y=3 intercepted by the circle x²+y²-2x-2y-2=0 is
The equation x²-2√(3)xy+3y²-3√(3)y-4=0 represents
The lengths of the tangents 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 of
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 point A is
Consider the following statements in respect of the function f(x)=x³-1, x∈[-1,1]. I. f(x) is increasing in [-1,1] II. f(x) has no root in (-1,1). Which of the statements given above is/are correct?