Pair Of Straight Lines Question 129
Question: If $ r(1-m^{2})+m(p-q)=0 $ , then a bisector of the angle between the lines represented by the equation $ px^{2}-2rxy+qy^{2}=0 $ , is
Options:
A) $ y=x $
B) $ y=-x $
C) $ y=mx $
D) $ my=x $
Show Answer
Answer:
Correct Answer: C
Solution:
Equation of bisectors of angle between the lines represented by
$ px^{2}-2rxy+qy^{2}=0 $ is $ \frac{x^{2}-y^{2}}{p-q}=\frac{xy}{-r} $ ….. (i)
On putting $ y=mx $ in (i), we get $ \frac{1-m^{2}}{p-q}=\frac{m}{-r} $
$ \Rightarrow r(1-m^{2})+m(p-q)=0 $ .
BETA
