List of top Questions asked in KCET

The de - Broglie wavelength of a particle of kinetic energy 'K' is \(\lambda\), the wavelength of the particle if its kinetic energy is

If A = {1,2,3........,10} then number of subsets of A containing only odd number is

Consider a glass slab which is silvered at one side and the other side is transparent, given the refractive index of the class slab to be 1.5 if a Ray of light is incident at an angle at 45 degree on the transparent side the deviation of the ray of life from its initial path when comes out of the slab is

When a compact disc (CD) is illuminated by small source of white light coloured band are observed. This is due to

The refracting angle of prism is A and refractive index of material of prism is $\cot \frac{A}{2}$ The angle of minimum deviation is

\(\sqrt{2 + \sqrt{2 + \sqrt{2 + 2\cos(8\theta)}}}\)=

The value of \(\sin \frac{5\pi}{12} \sin \frac{\pi}{12}\) is

The degree measure of \(\frac{\pi}{32}\) is equal to

The trigonometric function y = tan x in the II quadrant

The domain of the function \(f(x) = \frac{1}{\log(1-x)} + \sqrt{x+2}\) is

Suppose that the number of elements in set A is p, the number of elements in set B is q and the number of elements in \(A \times B\) is 7 then \(p^2 + q^2 =\)

If A and B are two independent events such that \(P(\overline{A}) = 0.75\), \(P(A \cup B) = 0.65\) and \(P(B) = x\), then find the value of x:

A pandemic has been spreading all over the world. The probabilities are 0.7 that there will be a lockdown , 0.8 that the pandemic is controlled in one month if there is a lockdown and 0.3 that it is controlled in one month if there is no lockdown. the probability that the pandemic will be controlled in one month is

If A and B are the two events such that \(P(A) = \frac{1}{2}\), \(P(B) = \frac{1}{3}\) and \(P(A|B) = \frac{1}{4}\), then \(P(A' \cap B')\) is

Find the mean number of heads in three tosses of fair coin:

The distance of the point whose position vector is \(\mathbf{2\hat{i} + \hat{j} - \hat{k}}\) from the plane vector \(\vec{r} \cdot (\hat{i} - 2\hat{j} + 4\hat{k}) = 4\) is

A dietician has to develop a special diets using two foods X and Y. Each packet (containing 30g) of food. X contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Y contains 3units of calcium , 20 unit of iron, 4 units of cholesterol and 3 units of vitamin A.The diet requires atleast 240 units of calcium, atleast 460 units of iron and atmost 300 units of cholesterol. The corner points of the feasible region are