isPrevious 10 Questions — NIMCET 2020
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If cos x = tan y , cot y = tan z and cot z = tan x, then sinx&nb…
Topic: NIMCET 2020
Find the value of sin 12°sin 48°sin 54°
Topic: NIMCET 2020
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
Solve the equation sin2 x - sinx - 2 = 0 for for x on
the interval 0 ≤ x < 2π
Topic: NIMCET 2020
If the volume of a parallelepiped whose adjacent edges are a = 2i + 3j + 4k,b = i + αj + 2kc = i + 2k + αkis …
Topic: NIMCET 2020
Vertices of the vectors i - 2j + 2k , 2i + j - k and 3i - j + 2k form a triangle. This triangle is
Topic: NIMCET 2020
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
The position vectors of points A and B are and .
Then the position vector of point p dividing AB …
Topic: NIMCET 2020
Forces of magnitude 5, 3, 1 units act in the directions
6i + 2j + 3k, 3i - 2j + 6k, 2i - 3j - 6k respectively on a part…
Topic: NIMCET 2020
If are four vectors such that is collinear with and is collinear with then &…
Topic: NIMCET 2020
Next 10 Questions — NIMCET 2020
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The value of sin 10°sin 50°sin 70° is
Topic: NIMCET 2020
The expression $\frac{tanA}{1-cotA}+\frac{cotA}{1-tanA}$ can be written as
Topic: NIMCET 2020
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
The area enclosed between the curves y2 = x and
y = |x| is
Topic: NIMCET 2020
Test the continuity of the function at x = 2 $f(x)= \begin{cases} \frac{5}{2}-x & \text{ if } x<2 \\ 1 &…
Topic: NIMCET 2020
The value of 2tan-1[cosec(tan-1x) - tan(cot-1x)]
Topic: NIMCET 2020
If $3 sin x + 4 cos x = 5$, then $6tan\frac{x}{2}-9tan^2\frac{x}{2}$
Topic: NIMCET 2020
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
A set of consecutive positive integers beginning with
1 is written on the blackboard. A student came along
and erased o…
Topic: NIMCET 2020
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
