Question

The line joining (5,0) to (10 cos 0,10 sin o) is divided internally in the ratio 2:3 at P, then the locus of P is​

Answer 1

Answer:

circle

Step-by-step explanation:

Let P(x,y) be the point dividing the join of A and B in the ratio 2:3 internally, then

x=

5

20cosθ+15

=4cosθ+3

⇒cosθ=

4

x−3

....(i)

y=

5

20sinθ+0

=4sinθ

⇒sinθ=

4

y

....(ii)

Squaring and adding (i) and (ii), we get the required locus

4

2

(x−3)

2

+

4

2

y

2

=1⇒(x−3)

2

+y

2

=16, which is a circle