jee-main 2023 Q65

jee-main · India · session1_01feb_shift1 Curve Sketching Sketching a Curve from Analytical Properties
The combined equation of the two lines $ax + by + c = 0$ and $a'x + b'y + c' = 0$ can be written as $(ax + by + c)(a'x + b'y + c') = 0$. The equation of the angle bisectors of the lines represented by the equation $2x^2 + xy - 3y^2 = 0$ is
(1) $3x^2 + 5xy + 2y^2 = 0$
(2) $x^2 - y^2 + 10xy = 0$
(3) $3x^2 + xy - 2y^2 = 0$
(4) $x^2 - y^2 - 10xy = 0$
The combined equation of the two lines $ax + by + c = 0$ and $a'x + b'y + c' = 0$ can be written as $(ax + by + c)(a'x + b'y + c') = 0$. The equation of the angle bisectors of the lines represented by the equation $2x^2 + xy - 3y^2 = 0$ is\\
(1) $3x^2 + 5xy + 2y^2 = 0$\\
(2) $x^2 - y^2 + 10xy = 0$\\
(3) $3x^2 + xy - 2y^2 = 0$\\
(4) $x^2 - y^2 - 10xy = 0$