Question

Which of the following is a homogeneous position of 7xy?

(A) Bxy (B) -8xy (C) 16 xy​

Answer 1

Answer:

For a pair of straight lines given by the equationax

2

+2hxy+by

2

=0,equation of the angle bisectors is given by

a−b

x

2

−y

2

=

h

xy

Equation of the pair of straight lines is12x

2

−7xy−12y

2

=0

a=12,b=−12andh=

2

−7

∴Equation of the angle bisector is

24

x

2

−y

2

=

7

−2xy

or7x

2

+48xy−7y

2

=0

Equation of the pair of straight lines is71x

2

+94xy−71y

2

=0

a=71,b=−71andh=47

∴Equation of the angle bisector is

142

x

2

−y

2

=

47

xy

or47x

2

−142xy−47y

2

=0

Equation of the pair of straight lines isx

2

−y

2

=0

a=1,b=−1andh=0

∴Equation of the angle bisector is

2

x

2

−y

2

=

0

xy

orxy=0