The combined equation of angle bisectors between the lines x^2-2xy-3y^2 =0 is

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Q. If the pairs of lines

x^{2} + 2 x y + a y^{2} = 0

and

a x^{2} + 2 x y + y^{2} = 0

have exactly one line in common, then the combined equation of the other two lines is given by

Q. Assertion :Angle between the lines represented by

3 x^{2} + 10 x y + 3 y^{2} - 2 x + 2 y - 1 = 0

and

3 x^{2} + 10 x y + 3 y^{2} - 11 x + 7 y - 20 = 0

is same. Reason: Equations of the bisectors of the angles between the lines

3 x^{2} + 10 x y + 3 y^{2} = 0

x^{2} - y^{2} = 0

Find the equation of the bisectors of the angle between the lines represented by $3 x^{2} - 5 x y + 4 y^{2} = 0$

Q. The combined equation of the bisectors of the angle between the lines represented by

(x^{2} + y^{2}) \sqrt{3} = 4 x y

If the pairs of lines $x^{2} + 2 x y + a y^{2} = 0$ and $a x^{2} + 2 x y + y^{2} = 0$ have exactly one line in common then the joint equation of the other two lines is given by

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