Question

In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option:

I.$\frac{117}{\sqrt{169x}}+\frac{19}{\sqrt{x}}=\sqrt{x}$
II.$y^5-\frac{(2\times 14{)}^{11/2}}{\sqrt{y}}=0$

• A. if x y
• B. if x > y
• C. if x y
• D. if x < y
• E. if x = y or no relation can be established between x and y

Answer 1

The correct option is E if x = y or no relation can be established between x and y

$I.9+19=\sqrt{x}\times \sqrt{x}\Rightarrow 28=x$

$II.y^5\times y^{1/2}=(28{)}^{11/2}\Rightarrow y^{11/2}=(28{)}^{11/2}\Rightarrow y=28$