jee-main 2025 Q80

jee-main · India · session2_03apr_shift1 Discriminant and conditions for roots Probability involving discriminant conditions

Q80. The coefficients $a , b , c$ in the quadratic equation $a x ^ { 2 } + b x + c = 0$ are chosen from the set $\{ 1,2,3,4,5,6,7,8 \}$ . The probability of this equation having repeated roots is :
(1) $\frac { 1 } { 128 }$
(2) $\frac { 1 } { 64 }$
(3) $\frac { 3 } { 256 }$
(4) $\frac { 3 } { 128 }$

Q80. The coefficients $a , b , c$ in the quadratic equation $a x ^ { 2 } + b x + c = 0$ are chosen from the set $\{ 1,2,3,4,5,6,7,8 \}$ . The probability of this equation having repeated roots is :\\
(1) $\frac { 1 } { 128 }$\\
(2) $\frac { 1 } { 64 }$\\
(3) $\frac { 3 } { 256 }$\\
(4) $\frac { 3 } { 128 }$

Paper Questions

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