Find the equation of the circle having centre having on x ndash axis passing through point 2 3 and r...........

Quantitative Aptitude (CDS) Coordinate Geometry

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Find the equation of the circle having centre having on x – axis passing through point (2,3) and radius 5.

x²+y²+4x+21=0

x²+y²-12x+11=0

both a & b

none of these

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Explanation:

lets consider centre as (h , 0)
distance between two points = √( x1 - x2 )² + (y1-y2)²
5² = (h – 2 )² + (- 3 )²
We get h = - 2 & 6 so we get two centre (-2,0) &( 6,0)
So on putting values we get two equation of circle
x²+y²+4x-21=0
x²+y²-12x+11=0