If m -4 pq - p - q- then the value of m -2 p - m -2 p - m -2 q - m -2 qA- 2B- 4C- 2 m p q-p-qD- None of these

The correct option is A 2m+2p/m 2p+m+2q/m 2q =m/2p+m/2q (by componendo and divendo) =m ( p+q/2pq ) = ( 4pq/p+q ) ( p+q/2pq ) substituting the value of m = 4pq ...

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Quantitative Aptitude

Ratio & Proportion

If m =4 pq / ...

Question

If $m = \frac{4 p q}{p + q}$ , then the value of $\frac{m + 2 p}{m - 2 p} + \frac{m + 2 q}{m - 2 q}$ :

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\frac{2 m p q}{(p + q)}

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None of these

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Solution

The correct option is A 2
$\frac{m + 2 p}{m - 2 p} + \frac{m + 2 q}{m - 2 q}$
$= \frac{m}{2 p} + \frac{m}{2 q}$ (by componendo and divendo)
$= m (\frac{p + q}{2 p q})$
$= (\frac{4 p q}{p + q}) (\frac{p + q}{2 p q})$ substituting the value of $m = \frac{4 p q}{p + q}$
= 2

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If m=4pqp+q, then the value of m+2pm−2p+m+2qm−2q:

The correct option is A 2m+2pm−2p+m+2qm−2q =m2p+m2q (by componendo and divendo) =m(p+q2pq) =(4pqp+q)(p+q2pq) substituting the value of m=4pqp+q = 2

If $m = \frac{4 p q}{p + q}$ , then the value of $\frac{m + 2 p}{m - 2 p} + \frac{m + 2 q}{m - 2 q}$ :

The correct option is A 2
$\frac{m + 2 p}{m - 2 p} + \frac{m + 2 q}{m - 2 q}$
$= \frac{m}{2 p} + \frac{m}{2 q}$ (by componendo and divendo)
$= m (\frac{p + q}{2 p q})$
$= (\frac{4 p q}{p + q}) (\frac{p + q}{2 p q})$ substituting the value of $m = \frac{4 p q}{p + q}$
= 2