Equations And Inequations Ques 81

I. $x^{2}=36$

II. $y^{2}-6 y+9=0$

Directions : In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer

(1) if $x>y$

(2) if $x \geq y$

(3) if $x<y$

(4) if $x \leq y$

(5) if $x=y$ or the relationship between $x$ and $y$ cannot be established.

Show Answer

Correct Answer: 81.(5)

Solution: (5) I. $x^{2}=36$

$\Rightarrow x=\sqrt{36}= \pm 6$

II. $y^{2}-6 y+9=0$

$\Rightarrow(y-3)^{2}=0 \Rightarrow y-3=0$

$\Rightarrow y=3$