NIMCET 2027 2014 Previous Year Questions (PYQs) – Page 11 of 12
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If tan A - tan B = x and cot B - cot A = y, then cot (A - B) is equal to
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If $a = log_{12}^{18}$, $b = log_{24}^{54}$, then $ab + 5(a - b)$ is
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A student takes a quiz consisting of 5 multiple choice questions. Each question has 4 possible answers. If a student is guessing the answer at random and answer to different are independent, then the probability of atleast one correct answer is
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The condition that the line lx + my + n = 0 becomes a tangent to the ellipse $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ , is
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Two non-negative numbers whose sum is 9 and the product of the one number and square of the other number is maximum, are
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The median AD of ΔABC is bisected at E and BE is produced to meet the side AC at F. Then, AF ∶ FC is
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If PQ is a double ordinate of the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ such that OPQ is an equilateral triangle,
where O is the centre of the hyperbola, then which of the following is true?
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In ΔABC, if a = 2, b = 4 and ∠C = 60°, then A and B are respectively equal to
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If $ \int \frac{xe^{x}}{\sqrt{1+e^{x}}}=f(x)\sqrt{1+e^{x}}-2log \frac{\sqrt{1+e^{x}}-1}{\sqrt{1+e^{x}}+1}+C$ then $f(x)$ is
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NIMCET 2027
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and More.
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