List of top Mathematics Questions asked in KCET

The equation of the plane through the points (2, 1, 0), (3, 2, -2) and (3, 1, 7) is
If the function of f(x) = \(\frac{1}{x+2}\), then the point of discontinuity of the composite function y = f(f(x)) is
A bag contains 2n + 1 coins. It is known that n of these coins have head on both sides whereas the other n + 1 coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is \(\frac{31}{42}\), then the value of n is
If A =\(\begin{bmatrix}   2-k & 2 \\     1 & 3-k \end{bmatrix}\) is a singular matrix, then the value of 5k - k2 is equal to
Let the relation R be defined in N by aRb if 3a + 2b = 27 then R is
If \(\Delta=\begin{vmatrix}     1 & a & a^2 \\     1 & b & b^2 \\     1 & c & c^2 \end{vmatrix}\) and \(\Delta_1=\begin{vmatrix}     1 & 1 & 1 \\     bc & ca & ab \\     a & b & c \end{vmatrix}\) then
If a lines makes an angle of \(\frac{\pi}{3}\) with each X and Y axis then the acute angle made by Z-axis is
The degree of the differential equation
\(1+(\frac{dy}{dx})^2+(\frac{d^2y}{dx^2})^2= \sqrt[3]{\frac{d^2y}{dx^2}+1}\) is
Let A = {x, y, z, u} and B = {a, b}. A function f : A → B is selected randomly. The probability that the function is an onto function is
If f(x) and g(x) are two functions with g(x) = \(x-\frac{1}{x}\) and fog(x) = \(x^3-\frac{1}{x^3}\) then f'(x) =
The function f(x) = cot x is discontiuous on every point of the set
The contrapositive of the statement
“If two lines do not intersect in the same plane then they are parallel.” is
If (2, 3, -1) is the foot of the perpendicular from (4, 2, 1) to a plane, then the equation of the plane is
If y = a sin x + b cos x, then y2 + \((\frac{dy}{dx})^2\) is a
Which of the following is an empty set ?
If A = \(\begin{bmatrix}     1 & \tan\ \alpha/2 \\     -\tan\ \alpha/2 & 1 \end{bmatrix}\) and AB=I then B =
The component of \(\hat{i}\) in the direction of the vector \(\hat{i}+\hat{j}+2\hat{k}\) is
\(\int\limits_{-2}^{0}(x^3+3x^2+3x+3+(x+1)\cos(x+1))\ dx=\)
A circular plate of radius 5 cm is heated. Due to expansion, its radius increases at the rate of 0.05 cm/sec. The rate at which its area is increasing when the radius is 5.2 cm is
If f(x) = 1 + nx + \(\frac{n(n-1)}{2}x^2+\frac{n(n-1)(n-2)}{6}x^3+...+x^n\) then f"(1) =
If \(|\vec{a}+\vec{b}|=|\vec{a}-\vec{b}|\) then
The distance between the foci of a hyperbola is 16 and its eccentricity is \(\sqrt2\). Its equation is
A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is
If A and B are two matrices such that AB=B and BA=A then A2 + B2 =
Let f : R→R be defined by f(x)= 3x2-5 and g : R→R by g(x)=\(\frac{x}{x^2+1}\) then gof is