MCQ_SINGLE

The locus of the point of intersection of tangents drawn to the circle $(x-2)^{2}+(y-3)^{2}=16$ which subtends an angle of $120^{\circ}$ is:

MCQ_SINGLE

If $xdy-ydx=\sqrt{x^{2}+y^{2}}dx$ and $y(1)=0$, then $y(3)=\_$ :

NUMERICAL

If $A=\{1,2,3,4,5,6\}$ and $B=\{1,2,3,...,9\}$, then the number of strictly increasing functions $f:A\rightarrow B$ such that $f(i)\ne i$ for all $i$ is:

MCQ_SINGLE

If the mean and variance of observations $x, y, 12, 14, 4, 10, 2$ is 8 and 16 respectively, where $x>y$, then the value of $3x-y$ is:

NUMERICAL

The number of real solutions of equation $x|x+4|+3|x+2|+10=0$ is equal to .

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