jee-main 2022 Q80

jee-main · India · session1_27jun_shift2 Geometric Probability
If a point $A ( x , y )$ lies in the region bounded by the $y$-axis, straight lines $2 y + x = 6$ and $5 x - 6 y = 30$, then the probability that $y < 1$ is
(1) $\frac { 1 } { 6 }$
(2) $\frac { 5 } { 6 }$
(3) $\frac { 2 } { 3 }$
(4) $\frac { 6 } { 7 }$
If a point $A ( x , y )$ lies in the region bounded by the $y$-axis, straight lines $2 y + x = 6$ and $5 x - 6 y = 30$, then the probability that $y < 1$ is\\
(1) $\frac { 1 } { 6 }$\\
(2) $\frac { 5 } { 6 }$\\
(3) $\frac { 2 } { 3 }$\\
(4) $\frac { 6 } { 7 }$