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Question

Question: The combined equation of the bisectors of the angle between the lines represented by \((x^{2} + y^{2...

The combined equation of the bisectors of the angle between the lines represented by (x2+y2)3=(x^{2} + y^{2})\sqrt{3} = 4xy4xy is

A

y2x2=0y^{2} - x^{2} = 0

B

xy=0xy = 0

C

x2+y2=2xyx^{2} + y^{2} = 2xy

D

x2y23=xy2\frac{x^{2} - y^{2}}{\sqrt{3}} = \frac{xy}{2}

Answer

y2x2=0y^{2} - x^{2} = 0

Explanation

Solution

x2y233=xy2x2y2=0\frac{x^{2} - y^{2}}{\sqrt{3} - \sqrt{3}} = \frac{xy}{- 2} \Rightarrow x^{2} - y^{2} = 0 .