The sum of the focal distances of any point on the ellipse $\frac{x^{2}}{a^{2}} +\frac{y^{2}}{b^{2}} =1$ with eccentricity $e$ is given by
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Let $\vec{a}, \vec{b}, \vec{c}$ be the position vectors of three vertices A, B, C of a triangle respectively then the a…
Topic: NIMCET 2013
Find the equation of the circle which passes through (–1, 1) and (2, 1), and having centre on the
line x + 2y + 3 = 0 .
Topic: NIMCET 2013
Two fair dice are tossed. What is the probability that the total score is a prime number?
Topic: NIMCET 2013
$lim_{x\to0}\left [ \frac{tanx-x}{x^{2}tanx} \right ]$ is equal to
Topic: NIMCET 2013
The sum of integers between 200 and 400, that are multiples of 7 is
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The value of $\tan\theta+2\tan2\theta + 4\tan4\theta + 8\cot8\theta$ is
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A random variable X has the distribution law as given below: X 123 P(X=x) 0.30.4 0.3&nb…
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If x = a cos t, y = b sin t, then $\frac{d^{2}y}{dx^{2}}$ is
Topic: NIMCET 2013
The total number of numbers that can be formed using the digits 3,5 and 7
only if no repetitions are allowed, is.
Topic: NIMCET 2013
The equation of the base of an equilateral triangle is x + y = 2 and the vertex is (2, –1). The length of the side of t…
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If $\sin x + \sin^{2}x = 1$, then $\cos^{2}x + \cos^{4}x$ is equal to.
Topic: NIMCET 2013
An experiment succeeds twice often as it fails. The probability that in the next six trials there will be at least four…
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Sum of 20 terms of the series $–1^{2} + 2^{2} –3^{2} + 4^{2} – …$ is
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If $tan\alpha=\frac{m}{m+1}$ and $tan\beta=\frac{1}{2m+1}$ then $\alpha+\beta$ is equal to
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A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through
another station 120 m l…
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In a row of children facing North, Shamika is third to the right of Nikhil, who is 17th from the right
end of the row. …
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Given that i) Some apples are blackberries. ii) Some doughnuts are apples. iii) No coconut is a doughnut…
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Which of the following is definitely a couple?
Topic: NIMCET 2013
What is the profession of Rakesh's wife?
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What is/was Ajay's grandfather's occupation?
Topic: NIMCET 2013
