List of top Questions asked in MET- 2010

Evaluate $\int \frac{1}{(x+1)\sqrt{x^2 - 1}}$ dx

The value of the integral $\int_π/2³π/2[sin~x]dx$, where $[·]$ denotes the greatest integer function, is

The area of the loop of the curve $ay²=x²(a-x)$ is

Solution of the differential equation \[ x = 1 + xy \frac{dy}{dx} + \frac{(xy)^2}{2!} \left(\frac{dy}{dx}\right)^2 + \frac{(xy)^3}{3!} \left(\frac{dy}{dx}\right)^3 + \cdots \] is

If the solution of the differential equation $ \frac{dy}{dx} = ax + 32y + f $ represents a circle, then the value of $ a $ is

The approximate value of $\int₁⁵x²dx$ using trapezoidal rule with $n=4$ is

Choose the alternative which best expresses the meaning of the word given in capital letters.
MOSQUERADE

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PREPOSTEROUS

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SOLITUDE

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PROPITIOUS

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RELENTLESS

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FORBEARANCE

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PALTRY

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EXODUS

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The writing or compiling of dictionaries

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The study of Insects

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Murder of one's brother

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Government by one person

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She cut a sad figure in her first performance on the stage.

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No sooner I saw the tiger, than I ran away.

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If he had time he will call you.

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All his answers were correct.

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Jam Jelly: Pickles

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Mountain Height: Climber

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Head Brain: Think