List of top Mathematics Questions

Normal at $(1, 1)$ on the curve $2y=9-x^2$ is

NOR gate is the series combination of

Negation of the conditional : " If it rains, I shall go to school" is.

Negation of "Paris is in France and London is in England" is.

$^{n}C_{r} + 2( {^{n}C_{r-1} }) + {^{n}C_{r-2}} $ is equal to:

$n(A) 3,n(B) = 2$ then the number of surjections from $A$ to $B$

Moment of couple is called

Maximum slope of the curve $y = -x^3 + 3x^2 + 9x - 27$ is

Locus of the point of intersection of perpendicular tangents to the circle $x^2 + y^2 = 16 $ is

Locus of centroid of the triangle whose vertices are $(a \cos \, t, a \sin \, t),(b \sin \, t,- b \cos \, t)$ and (1, 0), where t is a parameter, is

$ \lim_ {{x \to 0}} \frac { x.2^x-x} {1-cosx} $ is equal to

$ \lim_ {{x \to 0}} \frac {log\, cosx} {x} $ Is equal to

Let $z_1$ and $z_2$ be two complex numbers such that $z_1\neq z_2$ and $|z_1|\neq| z_2|$ . If $z_1$ has a positive real part and $z_2$ has negative imaginary part, then $\frac{z_1+z_2}{z_1+z_2}$ may be

Let $x$ be the arithmetic mean and $y, z$ be the two geometric means between any two positive numbers. The value of $\frac{y^{3}+ z^{3}}{xyz}$ is

Let y be an implicit function of x defined by $x^{2x} - 2x^x \, \cot \, y - 1= 0$. Then y'(1) equals

Let $y = \sin^{-1} \left(\frac{2x}{1+x^{2}}\right), 0 < x < 1$ and $ 0 < y < \frac{\pi}{2}, $ then $\frac{dy}{dx} $ is equal to

Let $\left(\frac{x}{2}-1, \frac{y}{9}+1\right)=\left(2, 1\right)$ then the values of $x$ and $y$ respectively are

Let X be a matrix of order $2 \times n$ and Z be a matrix of order $2 \times p$. If n = p, then the order of the matrix $7X - 5Z$ is

Let $\overrightarrow{u},\overrightarrow{v},\overrightarrow{w} $ be such that $|\overrightarrow{u}|=1,|\overrightarrow{v}|=2,|\overrightarrow{w} |=3 $. If the projection $\overrightarrow{v} $ along $\overrightarrow{u} $ is equal to that of $\overrightarrow{w} $ along $\overrightarrow{u} $ and $\overrightarrow{v} $ and $\overrightarrow{w} $ are $\bot$ to each other , then $|\overrightarrow{u} -\overrightarrow{v} +\overrightarrow{w} |$ equals

Let three fair coins be tossed. Let $A =$ {all heads or all tails}, $B =$ {atleast two heads), and $C =$ {atmost two tails). Which of the following events are independent ?

Let $t_r$ denotes the $r^{th}$ term of an $A.P$. Also, suppose that $t_{m} = \frac{1}{n}$ and $t_{n}= \frac{1}{m}, \left(m\ne n\right)$, for some positive integers $m$ and $n$, then which of the following is necessarily a root of the equation $(l+m- 2n)x^2 + (m + n- 2l)x +(n + l- 2m) = 0$?

Let the population of rabbits surviving at a time t be governed by the differential equation $dp(t)/dt = (1/2) p(t) - 200.$ If $ p(0) = 100,$ then p(t) equals

Let set $X= \{a, b, c\}$ and $Y = \phi$. The number of ordered pairs in $X \times Y$ are