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)(…

Question

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:

A
$3x^2 + 5xy + 2y^2 = 0$
B
$x^2 - y^2 + 10xy = 0$
C
$3x^2 + xy - 2y^2 = 0$
D
$x^2 - y^2 - 10xy = 0$

Accepted Answer

D. $$ x^2 - y^2 - 10xy = 0 $$

Answer

A. $$ 3x^2 + 5xy + 2y^2 = 0 $$

Answer

B. $$ x^2 - y^2 + 10xy = 0 $$

Answer

C. $$ 3x^2 + xy - 2y^2 = 0 $$

Answer & step-by-step solution

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