List of top Mathematics Questions

$\int\limits^2_0 |1 -x| dx$ is equal to

The sum of the series $\log _{4} 2-\log _{8} 2+\log _{16} 2-\ldots$ is

$\displaystyle\lim_{x\to0} \frac{\sin x}{x}$ is equal to

$\int \frac{\sin 2 x}{\sin ^{4} x+\cos ^{4} x}$ is equal to:

A bag contains $3$ white and $5$ black balls. One ball is drawn at random. Then the probability that it is white is:

If $2 i + j - k$ and $i -4 j +\lambda k$ are perpendicular to each other, then $\lambda$ is equal to:

$\frac{d}{dx} (x^x)$ is equal to

Equation of the bisector of the acute angle between lines $3x + 4y + 5 = 0$ and $12x -5y - 7 = 0$ is

The function $\sin \, x + \cos \, x$ is maximum when $x$ is equal to

The solutions set of inequation $\cos^{-1}x < \,\sin^{-1}x$ is

If $\frac{x^{2}+2x+7}{2x+3} < 6, x\,\in\,R, $ then

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

The value of $ \sum\limits_{n=0}^{\infty }{\frac{{{n}^{2}}+4}{n\,!}} $ is equal to

The equation of the plane perpendicular to the $z$-axis and passing through $ (2,-3,5) $ is

If $ {{4}^{x}}={{16}^{y}}={{64}^{z}}, $ then

If $A$ is a square matrix of order $3$ and a is a real number, then determinant $ |\alpha \,\,\,A| $ is equal to

The value of the integral $ \int{\frac{1}{{{e}^{2x}}+{{e}^{-2x}}}}\,\,dx $ is equal to

The number of straight lines which can be drawn through the point $ (-2,\,\,\,2) $ so that its distance from $ (-3,\,\,1) $ will be equal $6$ units is

The ratio in which ZX-plane divides the line segment AB joining the points $ A(4,2,3) $ and $ B(-2,4,5) $ is equal to

The contrapositive statement of the proposition $ p\to \sim q $ is

A force $2$ units acts along the line $ x-4=y-5. $ The moment of the force about the point $ (1,\,\,1) $ along $Z-axis$ is equal to

If $ f(x)\,=kx\,-\,\cos \,x $ is monotonically increasing for all $ x\in R, $ then

The three distinct points $ A(at_{1}^{2},\,2a{{t}_{1}}),\,\,B(at_{2}^{2},\,\,2a{{t}_{2}}) $ and $ C(0,\,a) $ (where $a$ is a real number) are collinear, if

The value of $k$ for which the equation $ {{x}^{2}}-4xy-{{y}^{2}}+6x+2y+k=0 $ represents a pair of straight lines is