- frac 4 sqrt x- frac 7 lsqrt x- sqrt xII- y - 2-lfrac11-frac52 sqrt y -0 A- if x - yB- if x - y or the relationship cannot be establishedC- if x - yD- if x-y

The correct option is B if x = y or the relationship cannot be established I.4/√(x)+7/√(x)=√(x) Or 4+7/√(x)=√(x) Or 11 = √(x)×√(x) Or x = 11 II. y^2 11^5/ ...

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Quantitative Aptitude

Equations

. frac 4 sqrt...

Question

$I . \frac{4}{\sqrt{x}} + \frac{7}{\sqrt{x}} = \sqrt{x} I I . y^{2} - \frac{11^{\frac{5}{2}}}{\sqrt{y}} = 0$

if x ≥ y

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if x < y

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if x ≤ y

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if x = y or the relationship cannot be established

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Solution

The correct option is D
if x = y or the relationship cannot be established

$I . \frac{4}{\sqrt{x}} + \frac{7}{\sqrt{x}} = \sqrt{x} O r \frac{4 + 7}{\sqrt{x}} = \sqrt{x} O r 11 = \sqrt{x} \times \sqrt{x} O r x = 11 I I . y^{2} - \frac{11^{\frac{5}{2}}}{\sqrt{y}} = 0 O r \frac{y^{\frac{5}{2}} - 11^{\frac{5}{2}}}{\sqrt{y}} = 0 O r y - 11 = 0 O r y = 11 S o, x = y$

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$I . \frac{4}{\sqrt{x}} + \frac{7}{\sqrt{x}} = \sqrt{x} I I . y^{2} - \frac{11^{\frac{5}{2}}}{\sqrt{y}} = 0$

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I.4√x+7√x=√xII.y2−1152√y=0

The correct option is D if x = y or the relationship cannot be established I.4√x+7√x=√xOr 4+7√x=√xOr 11=√x×√xOr x=11II.y2−1152√y=0Or y52−1152√y=0Or y−11=0Or y=11So, x=y

$I . \frac{4}{\sqrt{x}} + \frac{7}{\sqrt{x}} = \sqrt{x} I I . y^{2} - \frac{11^{\frac{5}{2}}}{\sqrt{y}} = 0$