List of top Questions asked in MET- 2020

According to Newton-Raphson method, the value of \(\sqrt{12}\) up to three places of decimal will be
The radical centre of the system of circles, \[ x^2 + y^2 + 4x + 7 = 0,\quad 2(x^2 + y^2) + 3x + 5y + 9 = 0 \] and \(x^2 + y^2 + y = 0\) is
Probability of getting sum 7 or 9 when two dice are thrown is:
The value of the angle between two straight lines is \(y = (2 - \sqrt{3})x + 5\) and \(y = (2 + \sqrt{3})x - 7\) is

If \( f(x) > 0 \; \forall x \in \mathbb{R} \), \( f'(3) = 0 \) and \( g(x) = f(\tan^2 x - 2\tan x + 4) \), \( 0 < x < \frac{\pi}{2} \), then \( g(x) \) is increasing in

If \(A\) and \(B\) are two such events that \(P(A \cup B) = P(A \cap B)\), then which of the following is true?
The number of unit vectors perpendicular to \(\vec{a} = \hat{i}+\hat{j}\) and \(\vec{b} = \hat{j}+\hat{k}\) is:

If \(\sin^{-1} x + \cot^{-1}\left(\frac{1}{2}\right) = \frac{\pi}{2}\), then value of \(x\) will be

Let \(f(x)\) be differentiable on the interval \((0,\infty)\) such that \(f(1)=1\) and \[ \lim_{t \to x} \frac{t^2 f(x) - x^2 f(t)}{t - x} = 1 \quad \text{for each } x>0. \] Then, \(f(x)\) is equal to
The locus of centre of circles which cut orthogonally the circle \(x^2 + y^2 - 4x + 8 = 0\) and touches \(x + 1 = 0\), is
The lawyer has plenty of ........... .
‘‘The project is good, but there is ........... missing’’
Orthopaedic : Bones :: Dermatologist : ?
Basilica : Church :: Dormer : ?
Although : Nevertheless :: Though : ?
Find the odd word.
Find the odd word.
Find the odd word.
In the English alphabet, find the position of P from right:
Which of the following letters is 14th to the right of 6th letter from the left in the English alphabet?
Alphabet reversed, 13th left of 3rd from right:
23, 28, 34, 41, 49, ?
11, 13, 17, 19, 23, 25, ?
Find the missing number in the given pattern:
Find the missing number in the triangle: