List of top Mathematics Questions asked in BITSAT

After striking the floor a certain ball rebounds (4)/(5)th of its height from which it has fallen. The total distance that the ball travels before coming to rest if it is gently released from a height of 120m is
If a system of equations -ax+y+z=0, x-by+z=0, x+y-cz=0 (a,b,c\ne1) has a non-zero solution, then (1)/(1+a)+(1)/(1+b)+(1)/(1+c) is
An equilateral triangle is inscribed in the circle x²+y²=a² with one of the vertices at (a,0). What is the equation of the side opposite to this vertex?
If (4ⁿ)/(n+1) < dfrac(2n)!(n!)², then P(n) is true for
An observer on the top of a tree finds the angle of depression of a car moving towards the tree to be 30^∘. After 3 minutes this angle becomes 60^∘. After how much more time will the car reach the tree?
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
The domain of the function f(x)=sin⁻1(log₂((1)/(2)x²)) is
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
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 α and β are roots of the equation x²+px+(3p)/(4)=0, such that |α-β|=√(10), then p belongs to the set
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
How many different eight digit numbers can be formed from the number 22335588 by rearranging its digits if odd digits occupy even positions?
The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would 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 the third term in the expansion of [x+x\log_¹⁰ˣ]⁵ is 10⁶, then x may be
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
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
The parabola having its focus at (3,2) and directrix along the y-axis has its vertex at
If sumᵣ=0ⁿ(r+2)/(r+1)ⁿCᵣ=(2ⁿ-1)/(6), then n=
The number of real roots of the equation 3⁹C₃r-1-3⁹Cᵣ²=3⁹Cᵣ²-1-3⁹C₃r is
The equation x²-2√(3)xy+3y²-3√(3)y-4=0 represents