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

1

Evaluate 

Topic: NIMCET 2020

2

then value of k is

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3

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

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4

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

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5

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

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6

Find 

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7

If a + b + c = 0, then the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$ 

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8

An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 t…

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9

Find the number of point(s) of intersection of the ellipse $\dfrac{x^2}{4}+\dfrac{(y-1)^2}{9}=1$ and the circle&nb…

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10

The tangent to an ellipse x2 + 16y2 = 16 and making angel 60° with X-axis is:

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1

The value of  depends on the

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2

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

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3

If  are three non-coplanar vectors, then 

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4

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…

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5

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

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6

Forces of magnitude 5, 3, 1 units act in the directions 6i + 2j + 3k, 3i - 2j + 6k, 2i - 3j - 6k respectively on a part…

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7

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

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8

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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9

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

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10

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

Topic: NIMCET 2020