List of top Questions asked in KCET

The area of a triangle with vertices(-3,0),(3, 0) and (0, k) is 9 sq.units, the value of k 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

If A and B are two matrices such that AB=B and BA=A then A² + B² =

The number of protons, neutrons and electrons in the ion \(^{32}_{16}S^{2-}\) respectively are

Temperature of 25 ºC in Fahrenheit and Kelvin scale respectively are

If \(x\begin{bmatrix}     3 \\  2 \end{bmatrix}+y\begin{bmatrix}     1 \\     -1 \end{bmatrix}=\begin{bmatrix}     15 \\     5\end{bmatrix}\) then the value of x and y are

The value of
\(\cot^{-1}[\frac{\sqrt{1-\sin x}+\sqrt{1+\sin x}}{\sqrt{1-\sin x}-\sqrt{1+\sin x}}]\) where x ∈ \((0,\frac{\pi}{4})\) is

The contrapositive of the statement
“If two lines do not intersect in the same plane then they are parallel.” is

A weak acid with pKa 5.9 and weak base with pKb 5.8 are mixed in equal proportions. pH of the resulting solution is

Let f(x) = sin 2x + cos 2x and g(x)=x²-1, then g(f(x)) is invertible in the domain

Let the relation R be defined in N by aRb if 3a + 2b = 27 then R is

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

f : R → R and g : [0, ∞) → R are defined by f(x) = x² and g(x)=\(\sqrt{x}\). Which one of the following is not true ?

The mean of 100 observations is 50 and their standard deviation is 5. Then the sum of squares of all observations is

Lattice enthalpy for NaCl is +788 kJ mol^-1 and ΔH°_hyd= -784 kJ mol^-1. Enthaply of solution of NaCl is

If n is even and the middle term in the expansion of \((x^2+\frac{1}{x})^n\) is 924 x⁶, then n is equal to

If \(\lim\limits_{x \rightarrow 0} \frac{\sin(2+x)-\sin(2-x)}{x}\)= A cos B, then the values of A and B respectively are

A gas at a pressure of 2 atm is heated from 25 °C to 323 °C and simultaneously compressed to \(\frac{2^{rd}}{3}\) of its original value. Then the final pressure is

Which of the following statement is INCORRECT ?

The correct order of first ionisation enthalpy of given elements is

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

n^th term of the series
\(1+\frac{3}{7}+\frac{5}{7^2}+\frac{1}{7^2}+...\) is

MTPs are considered relatively safe during

An example for hormone releasing IUD is