List of top Mathematics Questions asked in KCET

If 2^x + 2^y = 2^x+y, then \(\frac{dy}{dx}\) is

If A = \(\begin{pmatrix} 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \\ \end{pmatrix}\), then A⁴ is equal to

If A and B are square matrices of same order and B is a skew symmetric matrix, then A’BA is

If A is a square matrix of order 3 and |A| = 5, then |A adj.A| is

If a₁a₂a₃ …….. a₉ are in A.P. then the value of \(\begin{vmatrix} a_1 & a_2 & a_3 \\ a_4 & a_5 & a_6 \\ a_7 & a_8 & a_9 \\ \end{vmatrix}\) is

If A, B, C are three mutually exclusive and exhaustive events of an experiment such that P(A) = 2P(B) = 3P(C),then P(B) is equal to

The domain of the function defined by f(x) = \(\cos^{-1}\sqrt{x-1}\) is

The value of \(\cos(\sin^{-1}\frac{\pi}{3}+\cos^{-1}\frac{\pi}{3})\) is

If a relation R on the set {1, 2, 3} be defined by R = {(1, 1)}, then R is

Let f : [2, ∞) → R be the function defined by f(x) = x² - 4x + 5 , then the range of f is

If the parabola x² = 4ay passes through the point (2, 1), then the length of the latus rectum is

\(\lim\limits_{x\rightarrow0}(\frac{\tan x}{\sqrt{2x+4}-2})\) is equal to

The negation of the statement “For all real numbers x and y, x + y = y + x” is

The standard deviation of the data 6, 7, 8, 9, 10 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 S_n = 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

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 cos x = |sin x| then, the general solution 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

$\sqrt{3}\, cosec \,20^{\circ} - \sec\, 20^{\circ}$ =