jee-main 2025 Q64

jee-main · India · session2_03apr_shift1 Straight Lines & Coordinate Geometry Triangle Properties and Special Points
Q64. Let two straight lines drawn from the origin O intersect the line $3 x + 4 y = 12$ at the points P and Q such that $\triangle \mathrm { OPQ }$ is an isosceles triangle and $\angle \mathrm { POQ } = 90 ^ { \circ }$. If $l = \mathrm { OP } ^ { 2 } + \mathrm { PQ } ^ { 2 } + \mathrm { QO } ^ { 2 }$, then the greatest integer less than or equal to $l$ is :
(1) 42
(2) 46
(3) 44
(4) 48
Q64. Let two straight lines drawn from the origin O intersect the line $3 x + 4 y = 12$ at the points P and Q such that $\triangle \mathrm { OPQ }$ is an isosceles triangle and $\angle \mathrm { POQ } = 90 ^ { \circ }$. If $l = \mathrm { OP } ^ { 2 } + \mathrm { PQ } ^ { 2 } + \mathrm { QO } ^ { 2 }$, then the greatest integer less than or equal to $l$ is :\\
(1) 42\\
(2) 46\\
(3) 44\\
(4) 48