List of top Mathematics Questions asked in KCET

If a matrix $A$ is both symmetric and skew symmetric, then

The area of triangle with vertices ${(K, 0),(4,0) , (0, 2)}$ is $4$ square units, then value of $K$ is

Reflection of the point $( a , ? , ? )$ in $XY$ plane is

The integrating factor of the differential equation $x . \frac{dy}{x} + 2y = x^2 $ is $(x \neq 0)$

The perpendicular distance of the point ${P(6,7,8)}$ from $XY$-plane is

If coefficient of variation is $60$ and standard deviation is $24$, then Arithmetic mean is

Equation of line passing through the point $(1,2)$ and perpendicular to the line $y = 3x -1$ is

If $\left( \frac{1 + i}{1 - i} \right)^m =1$, then the least positive integral value of $m$ is

If $|x -1| \leq 1$, then

If $A$ is a square matrix of order $3 \times 3$, then $|KA|$ is equal to

The derivative of $\cos^{-1} (2x^2 - 1)$ w.r.t $\cos^{-1} x$ is

If $A$ and $B$ are finite sets and , ${A \subset B}$ then

If $\, {{^n C}_{12}}$ =$\, {{^n C}_8}$ then $n$ is equal to

If $tan^{-1} \,x + tan^{-1} \,y = \frac{4\pi}{5}$, then $cot^{-1}\, x + cot^{-1} \,y$ is equal to

The point on the curve $y^2 = x$ where the tangent makes an angle of $\pi /4$ with X-axis is

The eccentricity of the ellipse $\frac{x^2}{36} + \frac{y^2}{16} = 1$ is

The value of $cos^2 \, 45^{\circ} - sin^2 \, 15^{\circ}$ is

Two events $A$ and $B$ will be independent if

The differential coefficient of $\log_{10} x$ with respect to $\log_{x} 10$ is

If $\sin^{-1} \, x + \sin^{-1} \,y= \frac{\pi}{2}$ , then $x^2$ is equal to

The equation of the normal to the curve $y(1 + x^2) = 2 - x$ where the tangent crosses $x-axis$ is

$\displaystyle\lim_{x \to 0} \frac{xe^x - \sin \, x}{x}$ is equal to

Two dice are thrown simultaneously, the probability of obtaining a total score of $5$ is

Two cards are drawn at random from a pack of $52$ cards. The probability of these two being "Aces" is

The general solution of $\cot\, \theta + \tan\, \theta = 2$ is