If a + b + c = 0, then the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$ 

1

An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 t…

Topic: NIMCET 2020

2

Find the number of point(s) of intersection of the ellipse $\dfrac{x^2}{4}+\dfrac{(y-1)^2}{9}=1$ and the circle&nb…

Topic: NIMCET 2020

3

The tangent to an ellipse x2 + 16y2 = 16 and making angel 60° with X-axis is:

Topic: NIMCET 2020

4

Let A = (aij) and B = (bij) be two square matricesof order n and det(A) denotes the determinant of A. Then, which of th…

Topic: NIMCET 2020

5

The number of values of $k$ for which the linear equations4x + ky + 2z = 0kx + 4y + z = 02x + 2y + z = 0posses a non-ze…

Topic: NIMCET 2020

6

Roots of equation are $ax^2-2bx+c=0$ are n and m , then the value of $\frac{b}{an^2+c}+\frac{b}{am^2+c}$ is

Topic: NIMCET 2020

7

If $A = \begin{bmatrix} \cos\alpha & \sin\alpha \\ -\sin\alpha & \cos\alpha \end{bmatrix},$ then for any positive int…

Topic: NIMCET 2020

8

Standard deviation for the following distribution is  Size of item6 7 8 9 10 11&nbsp…

Topic: NIMCET 2020

9

A, B, C are three sets of values of x: A: 2,3,7,1,3,2,3 B: 7,5,9,12,5,3,8 C: 4,4,11,7,2,3,4 Select …

Topic: NIMCET 2020

10

A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both win a prize. Th…

Topic: NIMCET 2020

1

Find 

Topic: NIMCET 2020

2

If $f(x)=\begin{cases}{{x}^2} & {,\leq0} \\ {2\sin x} & {,0}\end{cases}$, then x = 0 is

Topic: NIMCET 2020

3

If  is a continuous function at x = 0, then the value of k is

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4

Find the interval(s) on which the graph y=2x3ex is increasing

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5

then value of k is

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6

Evaluate 

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7

If  where n is a positive integer, then the relation between In and In-1 is

Topic: NIMCET 2020

8

The value of  depends on the

Topic: NIMCET 2020

9

Find the area bounded by the line y = 3 - x, the parabola y = x2 - 9 and 

Topic: NIMCET 2020

10

If  are three non-coplanar vectors, then 

Topic: NIMCET 2020