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Question: The equation \(a x ^ { 2 } + b y ^ { 2 } + 2 h x y + 2 g x + 2 f y + c = 0\) will represent a cir...

The equation ax2+by2+2hxy+2gx+2fy+c=0a x ^ { 2 } + b y ^ { 2 } + 2 h x y + 2 g x + 2 f y + c = 0 will

represent a circle, if.

A

a=b=0a = b = 0 and c=0c = 0

B

f=gf = g and h=0h = 0

C

a=b0a = b \neq 0 and h=0h = 0

D

f=gf = g and c=0c = 0

Answer

a=b0a = b \neq 0 and h=0h = 0

Explanation

Solution

It is a fundamental concept.