List of top Mathematics Questions asked in WBJEE

If  A and B are two matrices such that A+B and AB are both defined, then 

If the straight line  y = mx lies outside of the circle x²+ y²– 20y + 90 = 0, then the value of m will satisfy 

The order and degree of the differential equation ${(1+3{\mathrm{y}}_1)}^{\frac{2}{3}}$ respectively is:

If $\omega \ne 1$ is a cube root of unity, then the sum of the series $S=1+2\omega +3{\omega }^2+\dots \dots \dots +3n{\omega }^{3n}-1$ is

4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is

If sin θ and cos θ are the roots of the equation  ax² – bx + c = 0, then a, b and c satisfy the relation 

The value of cos 15° – sin 15° is

The general solution of the differential equation $\frac{d^{2}y}{d{x}^2}+8\frac{dy}{dx}+16y=0$ is

The number of solutions of log2(x – 1) = 2 log2(x – 3) is

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is 

$\sum _{r=0}^{m}n+r{c}_r$ is equal to

The general solution of the differential equation ${\log }_e\left(\frac{dy}{dx}\right)=x+y$ is

If $y=2x^3-2x^2+3x-5$, then for $x=2$ and $\mathrm{\Delta }x=0.1$ value of $\mathrm{\Delta }y$ is:

$\mathrm{f}\mathrm{A}+\mathrm{B}+\mathrm{C}=,$ then $\tan \left(\frac{\mathrm{A}}{2}\right)\tan \left(\frac{\mathrm{B}}{2}\right)+\tan \left(\frac{\mathrm{B}}{2}\right)\tan \left(\frac{\mathrm{C}}{2}\right)+\tan \left(\frac{\mathrm{C}}{2}\right)\tan \left(\frac{\mathrm{A}}{2}\right)$ is equal to

The approximate value of 5√33 correct to 4 decimal places is 

The derivative of f(tan x) w.r.t. g(sec x) at x = π/4 where f`(1) = 2 and g`(√2) =4, is

If A and B are coefficients of xⁿ in the expansions of (1+ x)2ⁿ and (1+x)^{2n – 1} respectively, then A/B is equal to 

The number of solutions of  2sin x + cos x = 3 is 

The equation of the locus of the point of intersection of the straight lines x sin θ + (1 – cos θ) y = a sin θ  and x sin θ – (1 + cos θ) y + a sin θ = 0 is 

For the function f(x)= e^cosx , Rolle’s theorem is

If $x+\frac{1}{x}=2\cos \theta ,$ then for any integer $n,x^n+\frac{1}{x^n}=$

For the real parameter $t$, the locus of the complex number $z=(1-t^2)+i\sqrt{1+t^2}$