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 tower are 30°, 45° and 60°, respectively.
The ratio of AB and BC is
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The expression $\frac{tanA}{1-cotA}+\frac{cotA}{1-tanA}$ can be written as
Topic: NIMCET 2020
The value of sin 10°sin 50°sin 70° is
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The value of is
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If cos x = tan y , cot y = tan z and cot z = tan x, then sinx&nb…
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Find the value of sin 12°sin 48°sin 54°
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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
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If the volume of a parallelepiped whose adjacent edges are a = 2i + 3j + 4k,b = i + αj + 2kc = i + 2k + αkis …
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Vertices of the vectors i - 2j + 2k , 2i + j - k and 3i - j + 2k form a triangle. This triangle is
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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…
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The area enclosed between the curves y2 = x and
y = |x| is
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Test the continuity of the function at x = 2 $f(x)= \begin{cases} \frac{5}{2}-x & \text{ if } x<2 \\ 1 &…
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The value of 2tan-1[cosec(tan-1x) - tan(cot-1x)]
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If $3 sin x + 4 cos x = 5$, then $6tan\frac{x}{2}-9tan^2\frac{x}{2}$
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If A is a subset of B and B is a subset of C, then
cardinality of A ∪ B ∪ C is equal to
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A set of consecutive positive integers beginning with
1 is written on the blackboard. A student came along
and erased o…
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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
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…
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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…
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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…
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