If , then the values of A₁, A₂, A₃, A₄ are

1

If x is real, then the minimum value of  $\dfrac{x^2-x+1}{x^2+x+1}$is:

Topic: NIMCET 2019

2

Let $X_i, i = 1,2,.. , n$ be n observations and $w_i = px_i +k, i = 1,2, ,n$ where p and k are constants. If the mean o…

Topic: NIMCET 2019

3

The median AD of ΔABC is bisected at E and BE is extended to meet the side AC in F. The AF : FC =

Topic: NIMCET 2019

4

In a parallelogram ABCD, P is the midpoint of AD. Also, BP and AC intersect at Q. Then AQ : QC =

Topic: NIMCET 2019

5

The equation of the circle passing through the point (4,6) and whose diameters are along x + 2y - 5 =0 and 3x…

Topic: NIMCET 2019

6

If S and S' are foci of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$, B is the end of the minor axis and B…

Topic: NIMCET 2019

7

$\lim_{x\to3} \dfrac{\sqrt{3x}-3}{\sqrt{2x-4}-\sqrt{2}}$ is equal to 

Topic: NIMCET 2019

8

The curve satisfying the differential equation ydx-(x+3y2)dy=0 and passing through the point (1,1) also passe…

Topic: NIMCET 2019

9

If all the words, with or without meaning, are written using the letters of the word QUEEN add are arranged a…

Topic: NIMCET 2019

10

The integral $\int \sqrt{1+2 cot x(cosec x+cotx)} dx$ , $(0<x<\frac{\pi}{2})$ (where C is a constant of inte…

Topic: NIMCET 2019

1

Equation of the tangent from the point (3,−1) to the ellipse 2x2 + 9y2 = 3 is

Topic: NIMCET 2019

2

The position vectors of the vertices A, B, C of a tetrahedron ABCD are \(\hat{i} + \hat{j} + \hat{k}\), \(\hat{i}\) and…

Topic: NIMCET 2019

3

The $sin^2 x tanx + cos^2 x cot x-sin2x=1+tanx+cotx $, $x \in (0 , \pi)$, then x

Topic: NIMCET 2019

4

\(\vec{a}\) and \(\vec{b}\) are non-zero non-collinear vectors such that \(|\vec{a}| = 2\), \(\vec{a}\cdot \vec{b} = 1\…

Topic: NIMCET 2019

5

In a chess tournament, n men and 2 women players participated. Each player plays 2 games against every other player. Al…

Topic: NIMCET 2019

6

Suppose A1, A2, ... 30 are thirty sets, each with five elements and B1, B2, ...., Bn are n sets each with three element…

Topic: NIMCET 2019

7

Let \(f(x) = \begin{cases} \cos [x], & x\geq 0\\ |x| + a, & x< 0 \end{cases}\) where \([x]\) denotes the gre…

Topic: NIMCET 2019

8

Let U and V be two events of a sample space S and P(A) denote the probability of an event A. Which of the following sta…

Topic: NIMCET 2019

9

If a man purchases a raffle ticket, he can win a first prize of Rs.5,000 or a second prize of Rs.2,000 with probabiliti…

Topic: NIMCET 2019

10

If the mean deviation 1, 1+d, 1+2d, … , 1+100d from their mean is 255, then d is equal to

Topic: NIMCET 2019