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Question: If p(q – r)x<sup>2</sup> + q(r – p) x + r(p – q) = 0 has equal roots then 2/q is equal to –...

If p(q – r)x2 + q(r – p) x + r(p – q) = 0 has equal roots then 2/q is equal to –

A

1p+1r\frac{1}{p} + \frac{1}{r}

B

p + r

C

1p+r\frac{1}{p} + r

D

p + 1r\frac{1}{r}

Answer

1p+1r\frac{1}{p} + \frac{1}{r}

Explanation

Solution

Q x = 1 satisfy the equation and root's are equal

∴ root's are = 1, 1

∴ 1 × 1 = r(p–q)p(q–r)\frac{r(p–q)}{p(q–r)}

⇒ 2q\frac{2}{q}= 1p+1r\frac{1}{p} + \frac{1}{r}