List of top Questions asked in BITSAT- 2016

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
Nucleotides are joined together by between $ 5' $ and $ 3' $ carbon atoms of pentose sugar
The number of values of $r$ satisfying the equation $^{39}C_{3r-1} - ^{39}C_{r^{2}} = ^{39}C_{r^{2}-1} - ^{39}C_{3r} $ is
Consider the following statements in respect of the function $f(x)=x^{3}-1, x \in[-1,1]$ 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?
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
The parabola having its focus at (3,2) and directrix along the y-axis has its vertex at
The locus of the point of intersection of two tangents to the parabola y²=4ax, which are at right angle to one another is
If \( z_1 = \sqrt{3} + i\sqrt{3} \) and \( z_2 = \sqrt{3} + i \), then the complex number
\( \left( \dfrac{z_1}{z_2} \right)^{50} \)
lies in the
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
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
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 number of integral values of $\lambda$ for which $x^2 + y^2 + \lambda x + (1 - \lambda )y + 5 = 0 $ is the equation of a circle whose radius cannot exceed $5$, is
At an extreme point of a function f(x), the tangent to the curve is
The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is
If f(x)= begincases (xlog(cos x))/(log(1+x²)), & x\ne0
0, & x=0 endcases then f(x) is
For any differentiable function \( y \) of \( x \),
\( \dfrac{d^2 x}{dy^2} \left( \dfrac{dy}{dx} \right)^3 + \dfrac{d^2 y}{dx^2} = \)
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 sumᵣ=0ⁿ+2ⁿCᵣ=2⁸-1, then n=
If the third term in the expansion of
\( \left( x + x \log_{10}^{x} 5 \right) \)
is \( 10^6 \), then \( x \) may be
The number of values of r satisfying ³9C₃r-1=³9Cᵣ²-1=³9C₃r 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
A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of ten 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