Question

x+2y=7,2x+y=8 are two diameter of a circle with radius 5 unit.Find the equation of the circle​

Answer 1

Answer:

HEY MATE HERE IS YOUR ANSWER...

Step-by-step explanation:

Let C1 be a circle with center (a,b).

Now given that x+2y=7 and 2x+y=8 two equations of diameters of C1. Since both are diameters then center will satisfy, therefore

a+2b=7−−−−−−−−−−−−−−−−−−−(1)

2a+b=8−−−−−−−−−−−−−−−−−−−(2)

Now, solving equation (1) and (2)

So, a=3,b=2 Center of C1=(3,2).

Since, (0,−2) lies on circle C1 then distance between (0,−2)and(3,2) is equal to radius r(say) of circle.

Now,

r=(3−0)2+(2+2)2 

r=9+16

r=25

r=5

So, radius of circle is 5.

HOPE THIS HELPS U....