If $a\, \cos \theta+b\, \sin \, \theta=2$ and $a\, \sin \, \theta-b\, \cos \, \theta=3$ , then ${a}^{2^{}}+{b}^2=$
Previous 10 Questions — NIMCET 2021
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If P(1,2), Q(4,6), R(5,7) and S(a,b) are the vertices of a parallelogram PQRS, then
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If $\vec{e_1}=(1,1,1)$ and $\vec{e_2}=(1,1,-1)$ and $\vec{a}$ and $\vec{b}$ an…
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$\int {e}^x(\sinh x+\cosh x)dx$
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If X and Y are two sets, then X∩Y ' ∩ (X∪Y) ' is
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If a number x is selected at random from natural numbers 1,2,…,100, then the probability for $x+\frac{100}{x}{\gt}…
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Angle between $\vec{a}$ and $\vec{b}$ is $120{^{\circ}}$. If $|\vec{b}|=2|\vec{a}|$ and the vectors , $\vec{a}+x\vec{b…
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The probability that a man who is x years old will die in a year is p. Then, amongst n persons $A_1,A_2,\ldots A_n…
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If α≠β and $\alpha^2=5\alpha-3,\beta^2=5\beta-3$, then the equation whose roots are $\frac{\alpha}{\beta}$&nb…
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The eccentric angle of the extremities of latus-rectum of the ellipse $\frac{{x}^2}{{a}^2}^{}+\frac{{y}^2}{{b}^2}^{}=1$…
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Suppose $A_1,A_2,\ldots,A_{30}$ are 30 sets each with five elements and $B_1,B_2,B_3,\ldots,B_n$ ar…
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Next 10 Questions — NIMCET 2021
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If three thrown of three dice, the probability of throwing triplets not more than twice is
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$\int {3}^{{3}^{{3}^x}}.{3}^{{3}^x}.{3}^xdx$ is equal to
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There are 50 questions in a paper. Find the number of ways in which a student can attempt one or more questions :
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Consider the following frequency distribution table. Class Interval 10-20 20-30 30-40 40-5050-…
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Choose the word which has the same relationship among the given three words: Yellow, Blue, Red
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A company produces five different products. The sales of these five products (in lakh number of packs) during 2005 and …
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Choose the pair of number that comes next: 1 10 7 20 13 30 19
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Read the information given below and answer the following question: In a family of six persons A,B,C,D,E and F, th…
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If Z = 52 and ACT = 48, then BAT will be equal to
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Read the information given below and answer the following question: In a family of six persons A,B,C,D,E and F the…
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