Question

the area of triangle oab = area triangle poq .find the coordinates of point a​

Answer 1

Answer:

OC= Length of the perpendicular from (0,0) to the line 3x+4y+15=0

⟹OC=

3

2

+4

2

∣0+0+15∣

=

9+16

15

=

5

15

=3

In △OPQ,

OP=OQ

Hence the triangle is isoceles.

⟹OC bisects base PQ. C is the mid point of PQ

In right angle △OCQ

OQ

2

=OC

2

+CQ

2

⟹CQ

2

=9

2

−3

2

⟹CQ=

72

=6

2

As C is the mid point of PQ

⟹PQ=2×6

2

=12

2

Area=

2

1

×base×height=

2

1

×PQ×OC

=

2

1

×12

2

×3

=18

2

(unit)

2

------Option D