List of top Mathematics Questions asked in KCET

If $| 3x -5| \le 2$, then
$\cos\left[2\sin^{-1} \frac{3}{4} + \cos^{-1} \frac{3}{4}\right] = $
The interval in which the function $f(x) = x^3 - 6x^2 + 9x + 10$ is increasing in
If $a + \frac{\pi}{2} < 2 \tan^{-1} x + 3 \cot^{-1} x < b $ then 'a' and 'b' are respectively.
The domain of the function f : R $\to$ R defined by $f(x) = \sqrt{x^2 - 7x + 12} $ is
If $P$ and $Q$ are symmetric matrices of the same order then $PQ - QP$ is
On the set of positive rationals, a binary operation * is defined by a * b = $\frac{2ab}{5}$ . If 2 * x = $3^{-1}$ then x =
The eccentricity of the ellipse $9x^2 + 25y^2 = 225$ is
The distance of the point (1, 2, 1) from the line $\frac{x-1}{2} = \frac{ y-2}{1}=\frac{ z-3}{2} $ is
If $3A + 4B' = $$\begin{bmatrix}7&-10&17\\ 0&6&31\end{bmatrix} $ and $2B - 3A'$ $ \begin{bmatrix}-1&18\\ 4&0\\ -5&-7\end{bmatrix}$ then $B =$
A unit vector perpendicular to the plane containing the vectors $\hat{i} + 2 \hat{j} + \hat{k}$ and $-2 \hat{i} + \hat{j} + 3\hat{k}$ is
If the angle between $\vec{a}$ and $\vec{b}$ is $\frac{2 \pi}{3}$ and the projection of $\vec{a}$ in the direction of $\vec{b} $ is -2, the $|\vec{a}|$ =
XY - plane divides the line joining the points A (2, 3, - 5) and B (-1, -2, -3) in the ratio
The sides of an equilateral triangle are increasing at the rate of 4 cm/sec. The rate at which its area is increasing, when the side is 14 cm.
The value of $\sqrt{24 . 99}$ is
The number of 4 digit numbers without repetition that can be formed using the digits 1, 2, 3, 4, 5, 6, 7 in which each number has two odd digits and two even digits is
Acute angel between the line $\frac{x-5}{2} = \frac{y+1}{-1} = \frac{z+4}{1} $ and the plane 3x - 4y - z + 5 = 0 is
The inverse of the matrix $\begin{bmatrix}2&5&0\\ 0&1&1\\ -1&0&3\end{bmatrix} $ is
f : R $\to$ R and g : [0, $\infty$) $\to$ R is defined by f(x) = $x^2$ and g(x) = $\sqrt{x}$ . Which one of the following is not true?
If A and B are two events of a sample space S such that P(A) = 0.2, P(B) = 0.6 and P(A | B) = 0.5 then P(A?| B)=
If ?X? has a binomial distribution with parameters n = 6, p and P(X = 2) = 12, P(X = 3) = 5 then P =
A random variable ?X? has the following probability distribution: x 1 2 3 4 5 6 7 P(x) k-1 3k k 3k $3k^2$ $k^2$ $k^2 + k$ Then the value of k is
Foot of the perpendicular drawn from the point (1, 3, 4) to the plane 2x - y + z + 3 = 0 is
If $A = \begin{bmatrix}2&-2\\ -2&2\end{bmatrix}$ then $A^n = 2^k A,$ where k =
The constant term in the expansion of $\left(x^2 - \frac{1}{x^2} \right)^{16}$ is