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

1

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

Topic: NIMCET 2020

2

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

Topic: NIMCET 2020

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

Topic: NIMCET 2020

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

Topic: NIMCET 2020

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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

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If&nbsp; are four vectors such that&nbsp;is collinear with&nbsp;&nbsp;and&nbsp;is collinear with&nbsp;&nbsp;then&nbsp;&…

Topic: NIMCET 2020

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Two forces F1 and F2 are used to pull a car, which met an accident. The angle between the two forces is θ . Find the va…

Topic: NIMCET 2020

8

If&nbsp;&nbsp;are three non-coplanar vectors, then&nbsp;

Topic: NIMCET 2020

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Find the area bounded by the line y = 3 - x, the parabola y = x2 - 9 and&nbsp;

Topic: NIMCET 2020

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The value of&nbsp;&nbsp;depends on the

Topic: NIMCET 2020

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

Topic: NIMCET 2020

2

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

Topic: NIMCET 2020

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

Topic: NIMCET 2020

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The value of&nbsp;&nbsp;is

Topic: NIMCET 2020

5

The value of sin 10°sin 50°sin 70° is

Topic: NIMCET 2020

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

Topic: NIMCET 2020

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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

8

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

Topic: NIMCET 2020

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

Topic: NIMCET 2020

10

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

Topic: NIMCET 2020