Question

b. Find the equation of a circle having radius 10 units and equations of any two diameters
are x + 2y = 8 and x + y = 6.​

Answer 1

Answer:

(x−8)2+(y+10)2=92

Explanation:

The two diameters will meet at the centre of the circle

2x+y=6

Or

4x+2y=12

And

3x+2y=4

Subtract gives x =8

Substitute in one equation gives y=-10

Then check that you are right in the other equation

The general equation of a circle is (x−a)2+(y−b)2=r2

Where (a,b) is the centre of the circle and r is the radius.

The centre of the circle is (8,-10) the radius is 9

Hence