Question

If O is the origin and A and B are points on the line 3x - 4y + 25 = 0 such
that OA OB = 13, then the area of AOAB (in sq.units) is K

Answer 1

Answer:

Perpendicular distance from origin on the line 3x+4y+15=0 is:

d=

3

2

+4

2

15

=

5

15

=3

OA=9units

Base=2×

9

2

−3

2

=2

72

=12

2

Area=

2

1

×base×height

=

2

1

×12

2

×3

=18

2

units