If $3 sin x + 4 cos x = 5$, then $6tan\frac{x}{2}-9tan^2\frac{x}{2}$ 

1

The value of 2tan-1[cosec(tan-1x) - tan(cot-1x)]

Topic: NIMCET 2020

2

Test the continuity of the function at x = 2 $f(x)= \begin{cases} \frac{5}{2}-x & \text{ if } x<2 \\ 1 &amp…

Topic: NIMCET 2020

3

The area enclosed between the curves y2 = x and y = |x| is

Topic: NIMCET 2020

4

Angle of elevation of the top of the tower from 3 points (collinear) A, B and C on a road leading to the foot of the to…

Topic: NIMCET 2020

5

The expression  $\frac{tanA}{1-cotA}+\frac{cotA}{1-tanA}$ can be written as 

Topic: NIMCET 2020

6

The value of sin 10°sin 50°sin 70° is

Topic: NIMCET 2020

7

The value of  is

Topic: NIMCET 2020

8

If cos x = tan y , cot y = tan z and cot z = tan x, then sinx&nb…

Topic: NIMCET 2020

9

Find the value of sin 12°sin 48°sin 54°

Topic: NIMCET 2020

10

If $\frac{tanx}{2}=\frac{tanx}{3}=\frac{tanx}{5}$ and x + y + z = π, then the value of tan2x + tan2y + tan2z is

Topic: NIMCET 2020

1

If A is a subset of B and B is a subset of C, then cardinality of A ∪ B ∪ C is equal to

Topic: NIMCET 2020

2

A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased o…

Topic: NIMCET 2020

3

Four friends A, B, C and D need to cross a bridge in the night. A maximum of 2 people can cross at a time. They have on…

Topic: NIMCET 2020

4

In a city, 40.1% of the adults are illiterate while 85.1% of the children are literate. If the ratio of the adults to t…

Topic: NIMCET 2020

5

A runs $1 \frac{2}{3}$ times as fast as B. If A gives B a start of 80m, how far must the winning post be so that A…

Topic: NIMCET 2020

6

A person’s present age is two fifth of the age of his mother. After 8 years, he will be one-half of the age of his moth…

Topic: NIMCET 2020

7

Mr. Kumar drives to work at an average speed of 48 Km/hr. The time taken to cover the first 60% of the distance is 10 m…

Topic: NIMCET 2020

8

Two pipes A and B can fill the cistern in 37.5 minutes and 45 minutes respectively. Both pipes are opened. The cistern …

Topic: NIMCET 2020

9

In a certain code, DOES is written as 5$3% and SITE is written as %4#3. How is EDIT written in that code?

Topic: NIMCET 2020

10

In a shower, 5 cm of rainfalls. The volume of water that falls on 1.5 hectares of ground is:

Topic: NIMCET 2020