Equations And Inequations Ques 183
I. $x^{2}-6 x+9=0$
II. $y^{2}-11 y+24=0$
Directions : In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer If
(1) $x>$
(2) $\quad x \geq y$
(3) $x<y$
(4) $x \leq y$
(5) $\quad x=y$ or the relationship cannot be established
(IBPS Bank PO/MT CWE-IV 18.10.2014)
Show Answer
Correct Answer: 183.(4)
Solution: (4) I. $x^{2}-6 x+9=0$
$\Rightarrow(x-3)^{2}=0 \Rightarrow x-3=0$
$\Rightarrow x=3$ II. $y^{2}-11 y+24=0$
$\Rightarrow y^{2}-8 y-3 y+24=0$
$\Rightarrow y(y-8)-3(y-8)=0$
$\Rightarrow(y-3)(y-8)=0$
$\Rightarrow y=3$ or 8
Clearly, $x \leq y$
BETA
