jee-main 2018 Q61

jee-main · India · 08apr Inequalities Absolute Value Inequality
Let $S = \{ x \in R : x \geq 0 \& 2 | \sqrt { x } - 3 | + \sqrt { x } ( \sqrt { x } - 6 ) + 6 = 0 \}$. Then $S$ :
(1) Contains exactly four elements
(2) Is an empty set
(3) Contains exactly one element
(4) Contains exactly two elements
Let $S = \{ x \in R : x \geq 0 \& 2 | \sqrt { x } - 3 | + \sqrt { x } ( \sqrt { x } - 6 ) + 6 = 0 \}$. Then $S$ :\\
(1) Contains exactly four elements\\
(2) Is an empty set\\
(3) Contains exactly one element\\
(4) Contains exactly two elements