List of top Questions asked in MET- 2014

Find the correctly spelt word

Find the correctly spelt word

Find the correctly spelt word

Exodus

Find the correctly spelt word

Artificial

Find the correctly spelt word

Mortal

Deteriorate

Blemish

Knave

Stigma

Enormous

Commissioned

In how many ways, can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student?

If \( \cos^2 A + \cos^2 C = \sin^2 B \), then \( \triangle ABC \) is

Remorse

One mapping (function) is selected at random from all the mappings of the set \( A = \{1,2,3,\dots,n\} \) into itself. The probability that the mapping selected is one-one, is

The minimum value of \( \frac{x}{\log x} \) is

If \( \begin{vmatrix} x+y+2z & x & y z & y+z+2x & y z & x & z+x+2y \end{vmatrix} = k(x+y+z)^3 \), then the value of \( k \) is

A perpendicular is drawn from the point \( P(2,4,-1) \) to the line \( \frac{x+5}{1}=\frac{y+3}{4}=\frac{z-6}{-9} \). The equation of the perpendicular from \( P \) to the given line is

\( \int_{0}^{\pi/2} \frac{\sin x - \cos x}{1 + \sin x \cos x} \, dx \) is equal to

The area of the region bounded by $1 - y^2 = |x|$ and $|x| + |y| = 1$ is

The equations of the lines passing through the point \( (1,0) \) and at a distance \( \frac{\sqrt{3}}{2} \) from the origin are

The equation of circle which passes through the origin and cuts off intercepts 5 and 6 from the positive parts of the axes respectively, is \( \left(x - \frac{5}{2}\right)^2 + (y - 3)^2 = \lambda \), where \( \lambda \) is