Through any point (x, y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. The curve, given that it divides the rectangle formed by the two lines and the axes into two areas, one of which is twice the other, represents a family of
Previous 10 Questions — NIMCET 2018
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In a triangle ABC, angle A=90° and D is the midpoint of AC. What is the value of equal to?
Topic: NIMCET 2018
If $\sin\theta = 3\sin(\theta + 2\alpha)$, then value of $\tan(\theta + \alpha) + 2\tan\alpha$ is
Topic: NIMCET 2018
The value of $\cot\!\left(cosec^{-1}\dfrac{5}{3} + \tan^{-1}\dfrac{2}{3}\right)$ is
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A bird is flying in a straight line with velocity vector 10i+6j+k, measured in km/hr. If the starting point is (1,2,3),…
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Forces $4\hat{i} - 3\hat{j} + 7\hat{k}$ and $-2\hat{i} + 2\hat{j} - 8\hat{k}$ are acting on a particle and displaced it…
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The vector $\vec{a} = \alpha\hat{i} + 2\hat{j} + \beta\hat{k}$ lies in the plane of the vector $\vec{b} = \hat{i} + \ha…
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If $\vec{a}, \vec{b}$ and $\vec{c}$ are unit vectors, then $|\mathbf{a} - \mathbf{b}|^2 + |\mathbf{b} - \mathbf{c}|^2 +…
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$f(x) = x + |x|$ is continuous for
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Differential coefficient of $\log_{10} x$ with respect to $\log_{x} 10$ to
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Topic: NIMCET 2018
Next 10 Questions — NIMCET 2018
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A line passing through (4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the…
Topic: NIMCET 2018
In a city 40% of the adults are illiterate while 85% of the children are literate If the ratio of the adults to that of…
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There are 50 students admitted to a nursery class. Some students can speak only English and so…
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The last digit of the number obtained by multiplying the numbers 81 x 82 x 83 x 84 x 85 x 86 x 87 x 88 x 89 is
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It has been reported in recent years that a very large number of seats in the engineering colleges in the country remai…
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At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
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If $\log_3 2,\ \log_3(2^x - 5),\ \log_3\!\left(2^x - \dfrac{7}{2}\right)$ are in arithmetic progression, then the value…
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Let n be the number of different 5 digit numbers, divisible by 4 that can be formed with the digits 1,2, 3, 4, 5 and 6,…
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Let S be the set of integers x such that (i) 100 ≤ x ≤ 200(ii) x is odd and(iii) x is divisible by 3 but…
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Two pipes A and B can fill a cistern in 37.5 and 45 min, respectively. Both pipes are opened. The cistern will be fille…
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