Question

If lines represented by ax^2+2hxy+by^2 make angles of equal measures with the coordinate axes, then show that a=±b. Plz. Explain!

Answer 1

Answer:

I hope I helped you

Step-by-step explanation:

The angular bisectors of coordinate axes (x=0,y=0) is y=x and y=−x.

Bisector of positive direction of coordinate axes is y=x.

∴y=x, should satisfy ax

2

+2hxy+by

2

=0

⇒a+b+2h=0

⇒a+b=−2h