jee-main 2019 Q68

jee-main · India · session2_09apr_shift2 Straight Lines & Coordinate Geometry Point-to-Line Distance Computation

If the two lines $x + ( a - 1 ) y = 1$ and $2 x + a ^ { 2 } y = 1 , ( a \in R - \{ 0,1 \} )$ are perpendicular, then the distance of their point of intersection from the origin is
(1) $\frac { 2 } { \sqrt { 5 } }$
(2) $\frac { \sqrt { 2 } } { 5 }$
(3) $\frac { 2 } { 5 }$
(4) $\sqrt { \frac { 2 } { 5 } }$

If the two lines $x + ( a - 1 ) y = 1$ and $2 x + a ^ { 2 } y = 1 , ( a \in R - \{ 0,1 \} )$ are perpendicular, then the distance of their point of intersection from the origin is\\
(1) $\frac { 2 } { \sqrt { 5 } }$\\
(2) $\frac { \sqrt { 2 } } { 5 }$\\
(3) $\frac { 2 } { 5 }$\\
(4) $\sqrt { \frac { 2 } { 5 } }$

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