If $A = \begin{bmatrix} \cos\alpha & \sin\alpha \\ -\sin\alpha & \cos\alpha \end{bmatrix},$ then for any positive integer $n$, $A^n$ is
Previous 10 Questions — NIMCET 2020
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Standard deviation for the following distribution is Size of item6 7 8 9 10 11 …
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A, B, C are three sets of values of x: A: 2,3,7,1,3,2,3 B: 7,5,9,12,5,3,8 C: 4,4,11,7,2,3,4 Select …
Topic: NIMCET 2020
A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both win a prize. Th…
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A problem in Mathematics is given to 3 students A, B, and C. If the probability of A solving the problem is 1/2
and B n…
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Three cities A, B, C are equidistant from each other.
A motorist travels from A to B at 30km/hour, from B
to C at $40$ …
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There is a young boy’s birthday party in which 3
friends have attended. The mother has arranged 10
games where a prize …
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Naresh has 10 friends, and he wants to invite 6 of
them to a party. How many times will 3 particular
friends never atte…
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How many words can be formed starting with letter
D taking all letters from the word DELHI so that the
letters are not …
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If A = { x, y, z }, then the number of subsets in powerset of A is
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If $A = \{4^x- 3x - 1 : x ∈ N\}$ and $B = \{9(x - 1) : x ∈ N\}$, where N is the set of
natural numbers, then
Topic: NIMCET 2020
Next 10 Questions — NIMCET 2020
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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
Topic: NIMCET 2020
The number of values of $k$ for which the linear
equations4x + ky + 2z = 0kx + 4y + z = 02x + 2y + z = 0posses a non-ze…
Topic: NIMCET 2020
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 tangent to an ellipse x2 + 16y2 = 16 and making angel 60° with X-axis is:
Topic: NIMCET 2020
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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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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If a + b + c = 0, then the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$
Topic: NIMCET 2020
Find
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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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If is a continuous function at x = 0, then the value of k is
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