jee-main 2019 Q61

jee-main · India · session1_12jan_shift1 Roots of polynomials Vieta's formulas: compute symmetric functions of roots

If $\lambda$ be the ratio of the roots of the quadratic equation in $x , 3 m ^ { 2 } x ^ { 2 } + m ( m - 4 ) x + 2 = 0$, then the least value of $m$ for which $\lambda + \frac { 1 } { \lambda } = 1$, is :
(1) $2 - \sqrt { 3 }$
(2) $- 2 + \sqrt { } \overline { 2 }$
(3) $4 - 2 \sqrt { 3 }$
(4) $4 - 3 \sqrt { 2 }$

If $\lambda$ be the ratio of the roots of the quadratic equation in $x , 3 m ^ { 2 } x ^ { 2 } + m ( m - 4 ) x + 2 = 0$, then the least value of $m$ for which $\lambda + \frac { 1 } { \lambda } = 1$, is :\\
(1) $2 - \sqrt { 3 }$\\
(2) $- 2 + \sqrt { } \overline { 2 }$\\
(3) $4 - 2 \sqrt { 3 }$\\
(4) $4 - 3 \sqrt { 2 }$

Paper Questions

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