The figure given below shows a relation from $P$ to $Q .$ Complete the Range = {-2, 2, -3, 3, -5, 5, -6, __}from the diagram given?

6

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Solution

The correct option is A 6
From the arrow diagram, it is clear that $R = {(9, 3), (9, - 3), (4, 2), (4, - 2), (25, 5), (25, - 5), (36, 6), (36, - 6)} .$
$\Rightarrow x R y$ means $x$ is the square of $y,$ where $x \in P$ and $y \in Q .$
Also, domain of $R = {9, 4, 25, 36} .$
$Range of R = {- 2, 2, - 3, 3, - 5, 5, - 6, 6}$

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