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Question

The equation ax2+by2+2hxy+2gx+2fy+c=0 will represent a circle, if

A

a = b = 0 and c = 0

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B
f = g and h = 0
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C
a = b 0 and h = 0
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D
f = g and c = 0
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Solution

The correct option is C a = b 0 and h = 0
We know that the equation ax2+by2+2hxy+2gx+2fy+c=0 will represent a circle, if a = b 0 and h = 0
It is a fundamental concept.

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