jee-main 2019 Q61

jee-main · India · session1_10jan_shift2 Roots of polynomials Vieta's formulas: compute symmetric functions of roots
The value of $\lambda$ such that sum of the squares of the roots of the quadratic equation, $x ^ { 2 } + ( 3 - \lambda ) x + 2 = \lambda$ has the least value is:
(1) 2
(2) $\frac { 4 } { 9 }$
(3) $\frac { 15 } { 8 }$
(4) 1
The value of $\lambda$ such that sum of the squares of the roots of the quadratic equation, $x ^ { 2 } + ( 3 - \lambda ) x + 2 = \lambda$ has the least value is:\\
(1) 2\\
(2) $\frac { 4 } { 9 }$\\
(3) $\frac { 15 } { 8 }$\\
(4) 1