jee-main 2021 Q79

jee-main · India · session1_25feb_shift1 Discriminant and conditions for roots Probability involving discriminant conditions

The coefficients $a , b$ and $c$ of the quadratic equation, $a x ^ { 2 } + b x + c = 0$ are obtained by throwing a dice three times. The probability that this equation has equal roots is:
(1) $\frac { 1 } { 72 }$
(2) $\frac { 1 } { 36 }$
(3) $\frac { 1 } { 54 }$
(4) $\frac { 5 } { 216 }$

The coefficients $a , b$ and $c$ of the quadratic equation, $a x ^ { 2 } + b x + c = 0$ are obtained by throwing a dice three times. The probability that this equation has equal roots is:\\
(1) $\frac { 1 } { 72 }$\\
(2) $\frac { 1 } { 36 }$\\
(3) $\frac { 1 } { 54 }$\\
(4) $\frac { 5 } { 216 }$

Paper Questions

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