If $y=\cos^{-1}x$ and $z=\sin^{-1}\!\sqrt{1-x^{2}}$, then $\dfrac{dy}{dz}$ equals …
Previous 10 Questions — JAMIA MCA 2017
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If $y=\log(\tan x)$, then $\dfrac{dy}{dx}$ equals …
Topic: JAMIA MCA 2017
If $y=\tan^{-1}\!\left(\dfrac{1+x}{1-x}\right)$, then $\dfrac{dy}{dx}$ equals …
Topic: JAMIA MCA 2017
$\sin6^\circ\,\sin42^\circ\,\sin66^\circ\,\sin78^\circ$ is equal to …
Topic: JAMIA MCA 2017
The minimum value of $3\cos\theta+4\sin\theta+10$ is equal to …
Topic: JAMIA MCA 2017
If $x=a\cos^{2}\theta\sin\theta$ and $y=a\sin^{2}\theta\cos\theta$, then $(x^{2}+y^{2})^{3}$ is …
Topic: JAMIA MCA 2017
The value of $\sin^{6}x+\cos^{6}x+3\sin^{2}x\cos^{2}x$ is …
Topic: JAMIA MCA 2017
If $\sin\theta+\csc\theta=2$, then $\sin^{n}\theta+\csc^{n}\theta$ equals …
Topic: JAMIA MCA 2017
Let $z$ be a complex number. Which of the following is a solution of $|z|-z=1+2i$?
Topic: JAMIA MCA 2017
If $\omega$ is a cube root of unity, the value of $(1-\omega-\omega^{2})(1+\omega^{3})$ is …
Topic: JAMIA MCA 2017
For which value of $x$, $\left(\dfrac{1+i}{1-i}\right)^{x}=1$ ?
Topic: JAMIA MCA 2017
Next 10 Questions — JAMIA MCA 2017
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If $y=e^{2x}$, then $\dfrac{d^{2}y}{dx^{2}}\cdot\dfrac{d^{2}x}{dy^{2}}$ equals …
Topic: JAMIA MCA 2017
If $\sqrt{x+y}+\sqrt{\,y-x\,}=\sqrt2$, then $\dfrac{d^{2}y}{dx^{2}}$ equals …
Topic: JAMIA MCA 2017
$\displaystyle \lim_{x\to0}\frac{1-\cos x}{x^{2}}$ is equal to …
Topic: JAMIA MCA 2017
$\displaystyle \lim_{x\to\infty}\Big(x-\sqrt{x^{2}+x}\,\Big)$ is equal to …
Topic: JAMIA MCA 2017
$\displaystyle \int \frac{dx}{x\log x\;\log(\log x)}$ is equal to …
Topic: JAMIA MCA 2017
$\displaystyle \int x^{x}(1+\log x)\,dx$ is equal to …
Topic: JAMIA MCA 2017
z/OS is a …
Topic: JAMIA MCA 2017
Which of the following is a mobile operating system?
Topic: JAMIA MCA 2017
\(\displaystyle \int_{0}^{1}\frac{x}{(1-x)^{3/4}}\,dx\) is equal to …
Topic: JAMIA MCA 2017
Intel 8086 is a ______ bit microprocessor.
Topic: JAMIA MCA 2017
