List of top Mathematics Questions asked in WBJEE

The coordinates of the two points lying on $x + y = 4$ and at a unit distance from the straight line $4x + 3y = 10$ are

The sequence $\log \,a$, $\log \frac{a^{2}}{b}, \,\log \frac{a^{3}}{b^{2}}, ...........$ is

$^{15}C_{3} +\,^{15}C_{5} + .. ...+\,^{15}C_{15} $ will be equal to

If $A = \begin{bmatrix}3&x-1\\ 2x+3&x+2\end{bmatrix}$ is a symmetric matrix, then the value of $x$ is

The coordinates of a moving point $p$ are $(2t^2 + 4, 4t + 6)$. Then its locus will be a

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

If $\sin\,\theta$ and $\cos \theta $ are the roots of the equation $ax^2 - bx + c = 0$, then $a, b$ and $c$ satisfy the relation

If the three points $A(1,6), B(3, -4)$ and $C(x, y)$ are collinear then the equation satisfying by $x$ and $y$ is

Let $\tan \,\alpha = \frac{a}{a+1}$ and $\tan \,\beta = \frac{1}{2a + 1}$ then $\alpha + \beta$ is

The solution of $\frac{dy}{dx} = \frac{y}{x}+\tan \frac{y}{x}$ is

If $\log_{7} \,2 = ?$, then the value of $\log_{49}\, \left(28\right)$ is

If sin $\theta = \frac{2t}{1+t^{2}}$ and $?$ lies in the second quadrant, then $cos\,\theta$ is equal to

If $^nC_4,\, ^nC_5$ and $^nC_6$ are in $A.P.$, then $n$ is

If $\theta + \phi = \frac{\pi}{4}$, then $\left(1+ \tan\,?\right)\left(1+ \tan\,\phi\right)$ is equal to

Let $f(x) = \tan^{-1}x$. Then $f'(x) + f''(x)$ is = $0$, when $x$ is equal to

The number $(101)^{100} - 1$ is divisible by

The value of $\cos\, 15^{\circ} - \sin \,15^{\circ}$ is

If the ratio of the roots of the equation $px^2 + qx + r = 0$ is $a : b$, then $\frac{ab}{\left(a+b\right)^{2}} = $

The roots of the quadratic equation $x^{2}-2\sqrt{3}x-22 = 0 $ are :

The value of the integral $\int\limits^{\pi/2}_{0}\sin^{5}\, x\,dx$ is

Solution of the differential equation $xdy - ydx = 0$ represents a

$\displaystyle\lim _{x \rightarrow 0} \frac{\sin |x|}{x}$ is equal to

The function $f\left(x\right) = \sec \left[\log\left(x+\sqrt{1+x^{2}}\right)\right]$ is

The value of $\frac{\log_{3} 5 \times \log_{25} 27 \times \log_{49} 7}{\log_{81} 3}$ is

If $f(5)=7$ and $f^{'}(5)=7$ then $\displaystyle\lim _{x \rightarrow 5} \frac{x f(5)-5 f(x)}{x-5}$ is given by