List of top Mathematics Questions

The equation of the line passing through $ (0,0) $ and intersection of $ 3x-4y=2 $ and $ x+2y=-4 $ is

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

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

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

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

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

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

Define a relation $R$ on $A =\{1, 2, 3, 4\}$ as $_xR_y$ if $x$ divides $y$. $R$ is

If $\frac {Log\,x}{b-c} = \frac {Log\,y}{c-a}=\frac {Log \,z}{a-b}$ then the value of $ x^{b+c} . y^{c+a}.z^{a+b} $ is

The sum of the reciprocals of focal distances of a focal chord $PQ$ of $y^2 = 4ax$ is

If $\vec{a}, \vec{b}$ and $\vec{c}$ are unit vectors such that $\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}$ then angle between $\vec{a \text { and }} \vec{b}$ is

The domain of $ f(x) = sin^{-1} [Log_2 (\frac {x} {2})] $ is

If lines represented by $x + 3y - 6 = 0, 2x+y-4=0$ and $kx - 3y + 1 = 0$ are concurrent, then the value of $k$ is

A value of $ \theta$ satisfying $\sin 5 \theta - \sin 3 \theta + \sin \; \theta=0$ such that $0

The negation of $p \to (\sim p \vee q) $ is

In any triangle $ABC$, the simplified form of $\frac {Cos 2A}{a^2}-\frac{Cos2B}{b^2}$ is

The value of $\sin 10^{\circ} \cdot \sin 30^{\circ} \cdot \sin 50^{\circ}-\sin 70^{\circ}$ is