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 values of θ for which the resultant force is equal to 

1

If  are three non-coplanar vectors, then 

Topic: NIMCET 2020

2

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

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3

The value of  depends on the

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4

If  where n is a positive integer, then the relation between In and In-1 is

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5

Evaluate 

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6

then value of k is

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7

Find the interval(s) on which the graph y=2x3ex is increasing

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8

If  is a continuous function at x = 0, then the value of k is

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9

If $f(x)=\begin{cases}{{x}^2} & {,\leq0} \\ {2\sin x} & {,0}\end{cases}$, then x = 0 is

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10

Find 

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1

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

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2

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

3

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

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4

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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5

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

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6

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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7

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

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8

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

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9

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

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10

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

Topic: NIMCET 2020