Question

The equation of the bisectors of the angle between lines represented by equation $4x^{2} - 16xy - 7y^{2} = 0$is

• A. $8x^{2} + 11xy - 8y^{2} = 0$
• B. $8x^{2} - 11xy - 8y^{2} = 0$
• C. $16x^{2} + 11xy - 16y^{2} = 0$
• D. $16x^{2} + 11xy + 16y^{2} = 0$

Answer 1

Answer: (A)

$8x^{2} + 11xy - 8y^{2} = 0$

Answer 2

$\frac{x^{2} - y^{2}}{11} = \frac{xy}{- 8} \Rightarrow 8x^{2} + 11xy - 8y^{2} = 0$.