jee-main 2021 Q68

jee-main · India · session3_25jul_shift2 Straight Lines & Coordinate Geometry Slope and Angle Between Lines

Let the equation of the pair of lines, $y = p x$ and $y = q x$, can be written as $( y - p x ) ( y - q x ) = 0$. Then the equation of the pair of the angle bisectors of the lines $x ^ { 2 } - 4 x y - 5 y ^ { 2 } = 0$ is:
(1) $x ^ { 2 } - 3 x y + y ^ { 2 } = 0$
(2) $x ^ { 2 } + 4 x y - y ^ { 2 } = 0$
(3) $x ^ { 2 } + 3 x y - y ^ { 2 } = 0$
(4) $x ^ { 2 } - 3 x y - y ^ { 2 } = 0$

Let the equation of the pair of lines, $y = p x$ and $y = q x$, can be written as $( y - p x ) ( y - q x ) = 0$. Then the equation of the pair of the angle bisectors of the lines $x ^ { 2 } - 4 x y - 5 y ^ { 2 } = 0$ is:\\
(1) $x ^ { 2 } - 3 x y + y ^ { 2 } = 0$\\
(2) $x ^ { 2 } + 4 x y - y ^ { 2 } = 0$\\
(3) $x ^ { 2 } + 3 x y - y ^ { 2 } = 0$\\
(4) $x ^ { 2 } - 3 x y - y ^ { 2 } = 0$

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