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Find the center of the circle with equation x^2+y^2-4x-10y+4=0.(a) (-2, 5)(b) (-2, -5)(c) (2, -5)(d) (2, 5)The question was asked in my homework.My question is taken from Conic Sections in division Conic Sections of Mathematics – Class 11

Answer»

The correct answer is (d) (2, 5)

Explanation: COMPARING the equation with GENERAL form x^2+y^2+2gx+2fy+c=0, we get

2g=-4 => g=-2

2f=-10 => F=-5

c=4

Center is at (-g, -f) i.e. (2, 5).



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