Previous 10 Questions — JAMIA MCA 2016
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$\displaystyle \int_{1}^{x}(1+\log t)^{2}\,dt$ is equal to …
Topic: JAMIA MCA 2016
$\displaystyle \lim_{x\to1}\frac{x+x^{2}+\ldots+x^{10}-10}{5x-5}$ is equal to …
Topic: JAMIA MCA 2016
$\displaystyle \lim_{x\to a}\frac{x^{10}-a^{10}}{x^{2}-a^{2}}$ is equal to …
Topic: JAMIA MCA 2016
If $\displaystyle \lim_{x \to a} \frac{x^{\alpha} - x^{a}}{x - a} = -1$, then $\alpha$ is equal to …
Topic: JAMIA MCA 2016
$\displaystyle \lim_{h \to 0} \frac{\sqrt{x + h} - \sqrt{x}}{h}$ is equal to …
Topic: JAMIA MCA 2016
$\displaystyle \lim_{x \to \frac{\pi}{4}} \frac{\sin x - \cos x}{x - \frac{\pi}{4}}$ is equal to …
Topic: JAMIA MCA 2016
Next 10 Questions — JAMIA MCA 2016
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$\displaystyle \int_{0}^{\frac{\pi}{4}}\sec^{2}x\sin x\,dx=a+\sqrt{2}$, find $a$
Topic: JAMIA MCA 2016
$\displaystyle \int_{0}^{1}\frac{x}{(1-x)^{1/2}}dx$ is equal to …
Topic: JAMIA MCA 2016
$\displaystyle \int \sqrt{x}e^{\sqrt{x}}dx$ is equal to …
Topic: JAMIA MCA 2016
The value of $2\sin^{2}\theta \cdot \cos^{2}\theta (\sec^{2}\theta + \csc^{2}\theta)$ is …
Topic: JAMIA MCA 2016
If $\cos\theta + \sec\theta = 3$, then $\cos^{2}\theta + \sec^{2}\theta$ is …
Topic: JAMIA MCA 2016
The value of $\tan1^{\circ} \cdot \tan2^{\circ} \cdot \tan3^{\circ} \cdots \tan89^{\circ}$ is …
Topic: JAMIA MCA 2016
If $\cos\theta + \cos^{3}\theta = \sin^{2}\theta$, then $\sin^{6}\theta - 4\sin^{4}\theta + 8\sin^{2}\theta$ is equal t…
Topic: JAMIA MCA 2016
If $\cos^{2}\theta + \sec^{2}\theta = a$, then …
Topic: JAMIA MCA 2016
The amplitude of $\dfrac{1+i\sqrt{3}}{\sqrt{3}+i}$ is equal to …
Topic: JAMIA MCA 2016
If $z$ be a complex number and $\bar{z}$ be its conjugate, then the number of solutions of $z^{2} + 2\bar{z} = 0$ is …
Topic: JAMIA MCA 2016
