Question

Write the equation of the circle with center (2, 1) and (5, 2) a point on the circle.

Answer 1

x²+y²-4x-2y=5

Explanation:

the eq of circle is (x-h)²+(y-k)²=r²

(5-2)²+(2-1)²=r²

3²+1²=r²

10=r²

now, the eq of circle is given by

(x-h)²+(y-k)²=r²

(x-2)²+(y-k)²=10

x²-4x+4+y²-2y+1=10

x²+y²-4x-2y=10 is the required eq