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If the eqaution ax^(2)+2hxy +by^(2) +2g ...

If the eqaution `ax^(2)+2hxy +by^(2) +2g x +2fy+c=0` represents a pair of straigtht lines, then the square of the distance of their point of intersection from the origin is

A

`(c(a+b)-af^(2)-bg^(2))/(ab-h^(2))`

B

`(c(a+b)+f^(2)+g^(2))/(ab-h^(2))`

C

`(c(a+b)-f^(2)-g^(2))/(ab-h^(2))`

D

`(c(a+b)-f^(2)-g^(2))/((ab-h^(2))^(2))`

Text Solution

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The correct Answer is:
C
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