is a continuous function at x = 0, then the value of k isPrevious 10 Questions — NIMCET 2020
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If $f(x)=\begin{cases}{{x}^2} & {,\leq0} \\ {2\sin x} & {,0}\end{cases}$, then x = 0 is
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Find
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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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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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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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The tangent to an ellipse x2 + 16y2 = 16 and making angel 60° with X-axis is:
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Let A = (aij) and B = (bij) be two square matricesof order n and det(A) denotes the determinant of A.
Then, which of th…
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The number of values of $k$ for which the linear
equations4x + ky + 2z = 0kx + 4y + z = 02x + 2y + z = 0posses a non-ze…
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Roots of equation are $ax^2-2bx+c=0$ are n and m ,
then the value of $\frac{b}{an^2+c}+\frac{b}{am^2+c}$ is
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If
$A = \begin{bmatrix} \cos\alpha & \sin\alpha \\ -\sin\alpha & \cos\alpha \end{bmatrix},$
then for any positive int…
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Next 10 Questions — NIMCET 2020
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Find the interval(s) on which the graph y=2x3ex is increasing
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then value of k is
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Evaluate
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If where n is a positive
integer, then the relation between In and In-1 is
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The value of depends on the
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Find the area bounded by the line y = 3 - x, the
parabola y = x2 - 9 and
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If are three non-coplanar vectors, then
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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…
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If are four vectors such that is collinear with and is collinear with then &…
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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…
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