If the angle of elevation of the top of a hill from each of the vertices A, B and C of a horizontal triangle is $\alpha$, then the height of the hill is

1

The eccentricity of an ellipse, with its center at the origin is $\frac{1}{3}$ . If one of the directrices is $x=9$, …

Topic: NIMCET 2022

2

There are two sets A and B with |A| = m and |B| = n. If |P(A)| − |P(B)| = 112 then choose the wrong option (where |A|…

Topic: NIMCET 2022

3

The value of ${3}^{3-\log _35}$ is

Topic: NIMCET 2022

4

If $cos^{-1} \frac{x}{2}+cos^{-1} \frac{y}{3}=\phi$, then $9x^2-12xy cos\phi+4y^2$ is

Topic: NIMCET 2022

5

If $x^my^n$=$(x+y)^{m+n}$, then $\frac{dy}{dx}$ is

Topic: NIMCET 2022

6

In a triangle ABC, if the tangent of half the difference of two angles is equal to one third of the tangent of half th…

Topic: NIMCET 2022

7

There are two circles in xy −plane whose equations are $x^2+y^2-2y=0$ and $x^2+y^2-2y-3=0$. A point $(x,y)$ is chosen…

Topic: NIMCET 2022

8

Coordinate of the focus of the parabola $4y^2+12x-20y+67=0$ is

Topic: NIMCET 2022

9

The value of $\int \frac{({x}^2-1)}{{x}^3\sqrt[]{2{x}^4-2{x}^2+1}}dx$

Topic: NIMCET 2022

10

A straight line through the point (4, 5) is such that its intercept between the axes is bisected at A, then its equat…

Topic: NIMCET 2022

1

If $(\vec{a} \times \vec{b}) \times \vec{c}= \vec{a} \times (\vec{b} \times \vec{c})$, then

Topic: NIMCET 2022

2

Today is Wednesday. What would be the day after 61 days?

Topic: NIMCET 2022

3

Identify the fifth number in the series: 122, 144, 166, 188, ?

Topic: NIMCET 2022

4

Which of the following is the odd one from the given alternatives?

Topic: NIMCET 2022

5

Fill in the blank: HEC, JGE, LIG, NKI, ______

Topic: NIMCET 2022

6

Choose the word opposite in meaning to the given word: MITIGATE

Topic: NIMCET 2022

7

DNN, FQQ, HTT, ______, LZZ

Topic: NIMCET 2022

8

Select the pair of words, which are related in the same way as the capitalized words are related to each other.BUTTER…

Topic: NIMCET 2022

9

Select the pair of words, which are related in the same way as the capitalized words are related to each other. …

Topic: NIMCET 2022

10

In the following figure, find the total number of squares.

Topic: NIMCET 2022