NUMERICAL

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

MCQ_SINGLE

Consider a set $S=\{a,b,c,d\}$. Then the number of reflexive as well as symmetric relations from $S\rightarrow S$ is:

NUMERICAL

Chord joining at two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ on the parabola $y^{2}=12x$ intersect at right angle at the vertex, then $x_{1}x_{2}-y_{1}y_{2}=$ .

NUMERICAL

Let $A$ satisfy the equation $\lambda\begin{bmatrix}1\\2\\3\end{bmatrix}=\begin{bmatrix}-1\\0\\3\end{bmatrix}$, and $|2\text{adj}(A+I)|=2^{\alpha}3^{\beta}11^{\gamma}$ then $\alpha+\beta+\gamma$ is equal to .

STATEMENT

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