jee-main 2014 Q62

jee-main · India · 06apr Arithmetic Sequences and Series Find Specific Term from Given Conditions

Let $\alpha$ and $\beta$ be the roots of equation $p x ^ { 2 } + q x + r = 0 , p \neq 0$. If $p , q , r$ are in A.P. and $\frac { 1 } { \alpha } + \frac { 1 } { \beta } = 4$, then the value of $| \alpha - \beta |$ is
(1) $\frac { \sqrt { 34 } } { 9 }$
(2) $\frac { 2 \sqrt { 13 } } { 9 }$
(3) $\frac { \sqrt { 61 } } { 9 }$
(4) $\frac { 2 \sqrt { 17 } } { 9 }$

Let $\alpha$ and $\beta$ be the roots of equation $p x ^ { 2 } + q x + r = 0 , p \neq 0$. If $p , q , r$ are in A.P. and $\frac { 1 } { \alpha } + \frac { 1 } { \beta } = 4$, then the value of $| \alpha - \beta |$ is\\
(1) $\frac { \sqrt { 34 } } { 9 }$\\
(2) $\frac { 2 \sqrt { 13 } } { 9 }$\\
(3) $\frac { \sqrt { 61 } } { 9 }$\\
(4) $\frac { 2 \sqrt { 17 } } { 9 }$

Paper Questions

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