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Topic: NIMCET 2012

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Which of the following is correct?

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Let $P(E)$ denote the probability of event $E$. Given $P(A) = 1$, $P(B) = \frac{1}{2}$, the values of $P(A \mid B)$ a…

Topic: NIMCET 2012

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If $A-B=\frac{\pi}{4}$, then $(1+\tan A)(1-\tan B)$ is equal to

Topic: NIMCET 2012

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The number of words that can be formed by using the letters of the word 'MATHEMATICS' that start as well as end with T …

Topic: NIMCET 2012

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If $ \cos(\alpha+\beta)=\frac{4}{5}$ and  $\sin(\alpha-\beta)=\frac{5}{13},\quad 0<\alpha,\beta<\frac{\pi}{4…

Topic: NIMCET 2012

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If $\sin(\pi\cos\theta)=\cos(\pi\sin\theta)$, then $\sin 2\theta$ is equal to

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The equation $(\cos p-1)x^2+(\cos p)x+\sin p=0$ where $x$ is a variable, has real roots. Then, the interval of $p$ is

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Topic: NIMCET 2012