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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 2x2 + xy – 3y2 = 0 is

(1) 3x2 + 5xy + 2y2 = 0

(2) x2 – y2 + 10xy = 0

(3) 3x2 + xy – 2y2 = 0

(4) x2 – y2 – 10xy = 0

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Best answer

Correct option is (4) x2 – y2 – 10xy = 0

Equation of the pair of angle bisector for the homogenous equation ax2 + 2hxy + by2 = 0 is given as

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