List of top Mathematics Questions asked in KCET

\(\lim\limits_{x\rightarrow0}(\frac{\tan x}{\sqrt{2x+4}-2})\) is equal to
The standard deviation of the data 6, 7, 8, 9, 10 is
The negation of the statement “For all real numbers x and y, x + y = y + x” is
If the parabola x2 = 4ay passes through the point (2, 1), then the length of the latus rectum is
The two lines lx + my = n and l'x + m'y = n' are perpendicular if
If the sum of n terms of an A.P is given by Sn = n2 + n, then the common difference of the A.P is
The two lines $l x+my=n$ and $l'x+m'y=n'$ are perpendicular if
$\displaystyle \lim_{x\to0}\left(\frac{\tan \,x}{\sqrt{2x +4} - 2}\right)$ is equal to
If the value of a third order determinant is $16$, then the value of the determinant formed by replacing each of its elements by its cofactor is
The equation of the curve passing through the point (1, 1) such that the slope of the tangent at any point (x, y) is equal to the product of its co-ordinates is
The third term of a G.P. is 9. The product of its first five terms is
If cos x = |sin x| then, the general solution is
A man speaks truth 2 out of 3 times. He picks one of the natural numbers in the set S = {1, 2, 3, 4, 5, 6, 7} and reports that it is even. The probability that it is actually even is
If $A = \{ x | x \in N, x \le 5 \}, B = \{ x | x \in Z, x^2 - 5x + 6 = 0\}$, then the number of onto functions from A to B is
If $| 3x -5| \le 2$, then
$\cos\left[2\sin^{-1} \frac{3}{4} + \cos^{-1} \frac{3}{4}\right] = $
$\sqrt{3}\, cosec \,20^{\circ} - \sec\, 20^{\circ}$ =
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 $B =$