Let - and - be the root of equation px2 - qx - r - 0-p 0-if p-q and r in AP and 1- - 1- - 4- then the value of - - - - is

The correct option is C 2√(13)9 undefined ...

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Standard XII

Mathematics

Common Roots

Let α and ...

Question

Let $α$ and $β$ be the root of equation $p x^{2} + q x + r = 0, p \neq 0$ .if p,q and r in AP and $\frac{1}{α} + \frac{1}{β} = 4$ , then the value of $| α - β |$ is

\frac{\sqrt{61}}{9}

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\frac{2 \sqrt{17}}{9}

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\frac{2 \sqrt{13}}{9}

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None of these

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Solution

The correct option is C $\frac{2 \sqrt{13}}{9}$
undefined

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Let $α$ and $β$ be the roots of equation $p x^{2} + q x + r = 0, p \neq 0$ . If p,q and r in AP and $\frac{1}{α} + \frac{1}{β} = 4$ , then the value of $| α - β |$ is

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then the value of

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is :

Let $α$ and $β$ be the roots of equation $p x^{2} + q x + r = 0, p \neq 0$ . If p,q and r in AP and $\frac{1}{α} + \frac{1}{β} = 4$ , then the value of $| α - β |$ is

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Let α and β be the root of equation px2+qx+r=0,p≠0.if p,q and r in AP and 1α+1β=4, then the value of |α−β| is

The correct option is C 2√139undefined

Let $α$ and $β$ be the root of equation $p x^{2} + q x + r = 0, p \neq 0$ .if p,q and r in AP and $\frac{1}{α} + \frac{1}{β} = 4$ , then the value of $| α - β |$ is

The correct option is C $\frac{2 \sqrt{13}}{9}$
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