If $\cot^{-1}(\sqrt{\cos\alpha})-\tan^{-1}(\sqrt{\cos\alpha})=x$, then $\sin x$ is equal to
Previous 10 Questions — AMU MCA 2018
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If $\lim_{x\to0}|x|^{[\cos x]}=l$, where $[.]$ denotes the greatest integer function, then the value of $l$ is
Topic: AMU MCA 2018
The unit vector which is orthogonal to the vector $\hat{i}+\hat{j}+\hat{k}$ and is coplanar with vectors $\hat{i}+2\hat…
Topic: AMU MCA 2018
Let $\alpha_n$ be the $n$th term of an AP, whose first term is $a$ and common difference is $d$. If for some positive i…
Topic: AMU MCA 2018
Area of one loop formed by $|y|=|\sin x|$ is
Topic: AMU MCA 2018
The length of perpendicular from the point $\hat{i}+2\hat{j}+3\hat{k}$ to the line
$\frac{x-6}{3}=\frac{y-7}{2}=\frac{z…
Topic: AMU MCA 2018
If $S$ and $S'$ are the foci of the ellipse $\frac{x^2}{25}+\frac{y^2}{26}=1$, and $P$ is any point on it then range of…
Topic: AMU MCA 2018
The solution set of the inequality
$\log_{\sin(\pi/3)}(x^2-3x+2)\geq2$ is
Topic: AMU MCA 2018
The area of the region defined by $||x|-|y||\leq1$ and $x^2+y^2\leq1$ in the $xy$-plane is
Topic: AMU MCA 2018
The points $z_1=x+iy$ and $z_2=\frac{1}{-x+iy}$ in the complex plane lie on
Topic: AMU MCA 2018
The amplitude of the complex number $1+\sin\alpha-i\cos\alpha$ is
Topic: AMU MCA 2018
Next 10 Questions — AMU MCA 2018
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The area bounded by the curve
$y=\begin{cases} x^{1/\ln x}, & x\ne1 \ e, & x=1 \end{cases}$ and $y=|x-e|$ is
Topic: AMU MCA 2018
The distance of point of intersection of the line
$\frac{x-2}{3}=\frac{y+1}{4}=\frac{z-2}{12}$ with the plane $x-y+z=5$…
Topic: AMU MCA 2018
Let $0
Topic: AMU MCA 2018
The equation $|x|+\left|\frac{x}{x-1}\right|=\frac{x^2}{|x-1|}$ will be always true for $x$, belonging to
Topic: AMU MCA 2018
Let $\frac{\sin(\theta-\alpha)}{\sin(\theta-\beta)}=\frac{a}{b},\ \frac{\cos(\theta-\alpha)}{\cos(\theta-\beta)}=\frac{…
Topic: AMU MCA 2018
If $R$ is the set of real numbers and $f:R\to R$ is a function defined by $f(x)=\sin x$, then $f^{-1}([-1,1])$ is
Topic: AMU MCA 2018
If $A=\left[\matrix{k&l\cr m&n}\right]$ and $kn\ne lm$, then the value of
$A^2-(k+n)A+(kn-lm)I$ equals
Topic: AMU MCA 2018
If $a,b,c$ are the integers between $1$ and $9$ and $a51,\ b41,\ c31$ are three-digit numbers and the value of determin…
Topic: AMU MCA 2018
If $\int_{0}^{\infty}[3e^{-x}],dx=l$, where $[.]$ denotes the greatest integer function, then the value of $l$ is
Topic: AMU MCA 2018
If $A$ and $B$ are disjoint sets, then $B\cap A'$ where $A'$ is complement of $A$ is equal to
Topic: AMU MCA 2018
