List of top Mathematics Questions asked in KCET

The number of ways in which 5 girls and 3 boys can be seated in a row so the no two boys are together is

The value of $\displaystyle\lim_{x\to0} \frac{\left|x\right|}{x} $ is

The value of determinant $\begin{vmatrix}a-b&b+c&a\\ b-a&c+a&b\\ c-a&a+b&c \end{vmatrix}$ is

If $|x + 5| \ge \,10 $ , then

The locus represented by $xy + yz = 0$ is

The probability of happening of an event A is 0.5 and the of B is 0.3 .If A and B are mutually exclusive events, then the probability of neither A nor B is

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

The total number of terms in the expansion of ${(x+a)^{47} - (x-a)^{47}}$ after simplification is

The function $ f (x) = x^2 + 2x - 5$ is strictly increasing in the interval

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

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

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

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

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

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

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

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