jee-main 2021 Q62

jee-main · India · session3_20jul_shift1 Discriminant and conditions for roots Probability involving discriminant conditions

The probability of selecting integers $a \in [ - 5,30 ]$ such that $x ^ { 2 } + 2 ( a + 4 ) x - 5 a + 64 > 0$, for all $x \in R$, is:
(1) $\frac { 7 } { 36 }$
(2) $\frac { 2 } { 9 }$
(3) $\frac { 1 } { 6 }$
(4) $\frac { 1 } { 4 }$

The probability of selecting integers $a \in [ - 5,30 ]$ such that $x ^ { 2 } + 2 ( a + 4 ) x - 5 a + 64 > 0$, for all $x \in R$, is:\\
(1) $\frac { 7 } { 36 }$\\
(2) $\frac { 2 } { 9 }$\\
(3) $\frac { 1 } { 6 }$\\
(4) $\frac { 1 } { 4 }$

Paper Questions

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