jee-main 2019 Q61

jee-main · India · session2_09apr_shift2 Solving quadratics and applications Optimization or extremal value of an expression via completing the square

If $m$ is chosen in the quadratic equation $\left( m ^ { 2 } + 1 \right) x ^ { 2 } - 3 x + \left( m ^ { 2 } + 1 \right) ^ { 2 } = 0$ such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is:
(1) $4 \sqrt { 3 }$
(2) $10 \sqrt { 5 }$
(3) $8 \sqrt { 3 }$
(4) $8 \sqrt { 5 }$

If $m$ is chosen in the quadratic equation $\left( m ^ { 2 } + 1 \right) x ^ { 2 } - 3 x + \left( m ^ { 2 } + 1 \right) ^ { 2 } = 0$ such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is:\\
(1) $4 \sqrt { 3 }$\\
(2) $10 \sqrt { 5 }$\\
(3) $8 \sqrt { 3 }$\\
(4) $8 \sqrt { 5 }$

Paper Questions

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