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The equation x^(2) + y^(2) + 2gx + 2fy ...

The equation ` x^(2) + y^(2) + 2gx + 2fy + c=0 ` reprsents the circle if

A

it is a second degree equation in x and y

B

co- efficient of ` x^(2) ` = co- efficient of ` y^(2) ne 0`

C

co-efficient of x = 1

D

co - efficient of xy = 0

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The equation of the normal to the circle x ^(2) + y ^(2) - 2x - 2y + 1 =0 which is parallel to the line 2x + 4y = 3 is

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    `bg^(2) != ch^(2)`
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