List of top Mathematics Questions asked in KCET

The maximum area of a rectangle inscribed in the circle $(x + 1)^2 + (y - 3)^2 = 64$ is

In a simultaneous throw of a pair of dice, the probability of getting a total more than 7 is

The negation of the statement "72 is divisible by 2 and 3" is

A flashlight has 10 batteries out of which 4 are dead. If 3 batteries are selected without replacement and tested, then the probability that all 3 are dead is

A bag contains 17 tickets numbered from 1 to 17. A ticket is draw at random, then another ticket is drawn at random, then another ticket is drawn without replacing the first one . The probability that both the tickets may show even numbers is

If $\left( \frac{ 1 - i}{1 + i}\right)^{96} = a + ib$ then (a,b) is

If $A = \begin{bmatrix}\cos\alpha&\sin\alpha\\ - \sin\alpha&\cos\alpha\end{bmatrix}$ , then $AA' =$

Everybody in a room shakes hands with everybody else. The total number of handshakes is 45. The total number of persons in the room is

If A and B are mutually exclusive events , given that $P(A) = \frac{3}{5} , P(B) = \frac{1}{5}$, then P(A or B) is

The distance between the foci of a hyperbola is 16 and its eccentricity is $\sqrt{2}$. Its equation is

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

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 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