List of top Mathematics Questions asked in KCET

The angle between the lines $2x = 3y = - z$ and $6x = - y = - 4z$ is
The feasible region of an LPP is shown in the figure . If $z = 3x + 9y ,$ then the minimum value of z occurs at
A die is thrown four times. The probability of getting perfect square in at least one throw is
For the probability distribution given by $X=x_{i}$ 0 1 2 $p_{i}$ $\frac{25}{36}$ $\frac{5}{18}$ $\frac{1}{36}$ the standard deviation $(\sigma)$ is
If $\sin^{-1} \,x + \cos^{-1} \,y = \frac{2 \pi}{5}$ , then $\cos^{-1} \,x + \sin^{-1}\, y$ is
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

Let A be a square matrix of order $3 \times 3$, then $|5A| =$

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 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 locus represented by $xy + yz = 0$ is
The equation of the line parallel to the line $3x - 4y + 2 = 0 $ and passing through $(-2, 3 )$ 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
The integrating factor of the differential equation $x . \frac{dy}{x} + 2y = x^2 $ is $(x \neq 0)$
Reflection of the point $( a , ? , ? )$ in $XY$ plane is
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
If $A$ and $B$ are finite sets and , ${A \subset B}$ then