Equations And Inequations Ques 2

I. $x^{2}=144$

II. $y^{2}-24 y+144=0$

(1) $x \leq y$

(2) $x \geq y$

(3) relationship between $x$ and $y$ cannot be determined

(4) $ x<y $

(5) $ x>y $

Show Answer

Correct Answer: 2.(1)

Solution: (1) I. $x^{2}=144$

$\Rightarrow x=\sqrt{144}= \pm 12$

II. $y^{2}-24 y+144=0$

$\Rightarrow(y-12)^{2}=0$

$\Rightarrow y-12=0 \Rightarrow y=12$

Clearly, $x \leq y$