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Find the radius of the circle with equation x^2+y^2-4x-10y+4=0.(a) 25 units(b) 20 units(c) 5 units(d) 10 unitsThis question was addressed to me by my school teacher while I was bunking the class.This interesting question is from Conic Sections topic in division Conic Sections of Mathematics – Class 11

Answer»

Correct answer is (C) 5 units

To EXPLAIN: 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

Radius = \(\SQRT{g^2+f^2-c} = \sqrt{4+25-4}\)=5.



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