jee-main 2024 Q67

jee-main · India · session1_29jan_shift2 Straight Lines & Coordinate Geometry Point-to-Line Distance Computation
The distance of the point $( 2,3 )$ from the line $2 x - 3 y + 28 = 0$, measured parallel to the line $\sqrt { 3 } x - y + 1 = 0$, is equal to
(1) $4 \sqrt { 2 }$
(2) $6 \sqrt { 3 }$
(3) $3 + 4 \sqrt { 2 }$
(4) $4 + 6 \sqrt { 3 }$
The distance of the point $( 2,3 )$ from the line $2 x - 3 y + 28 = 0$, measured parallel to the line $\sqrt { 3 } x - y + 1 = 0$, is equal to\\
(1) $4 \sqrt { 2 }$\\
(2) $6 \sqrt { 3 }$\\
(3) $3 + 4 \sqrt { 2 }$\\
(4) $4 + 6 \sqrt { 3 }$