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

1

The value of sin 10°sin 50°sin 70° is

Topic: NIMCET 2020

2

The value of  is

Topic: NIMCET 2020

3

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

Topic: NIMCET 2020

4

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

Topic: NIMCET 2020

5

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

6

Solve the equation sin2 x - sinx - 2 = 0 for for x on the interval 0 ≤ x < 2π

Topic: NIMCET 2020

7

If the volume of a parallelepiped whose adjacent edges are a = 2i + 3j + 4k,b = i + αj + 2kc = i + 2k + αkis …

Topic: NIMCET 2020

8

Vertices of the vectors i - 2j + 2k , 2i + j - k and 3i - j + 2k form a triangle. This triangle is

Topic: NIMCET 2020

9

If a, b, c are three non-zero vectors with no two of which are collinear, a + 2b  is collinear with c and b + 3c i…

Topic: NIMCET 2020

10

The position vectors of points A and B are  and  . Then the position vector of point p dividing AB …

Topic: NIMCET 2020

1

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

2

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

Topic: NIMCET 2020

3

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

4

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

Topic: NIMCET 2020

5

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

Topic: NIMCET 2020

6

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

7

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

Topic: NIMCET 2020

8

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

9

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

10

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