NUMERICAL

The sum of roots of the equation $|x-1|^{2}-5|x-1|+6=0$ is:

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If a line $ax+y=1$ does not intersect the hyperbola $x^{2}-9y^{2}=9$, then possible value of $a$ is :

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If $L_{1}$ and $L_{2}$ are two parallel lines and $\triangle ABC$ is an equilateral triangle as shown in the figure, then the area of triangle ABC is:

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Let $M=\{1,2,3,...,16\}$ and $R=\{(x,y):4y=5x-3,x,y\in M\}$. Then the number of elements to be added in $R$ to make it symmetric is :

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