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If the quadrilateral formed by the lines...

If the quadrilateral formed by the lines
`a x+b y+c=0, a^(prime) x+b^(prime) y+c=0`
` a x+b y+c^(prime)=0, a^(prime) x+b^(prime) y+c^(prime)=0` have perpendicular diagonals, then

A

`b^(2)+c^(2)=(b^(prime))^(2)+(c^(prime))^(2)`

B

`c^(2)+a^(2)=(c^(prime))^(2)+(a^(r))^(2)`

C

`a^(2)+b^(2)=(a^(prime))^(2)+(b^(prime))^(2)`

D

`b^(2)+c^(2)=(b^(prime))^(2)+(a^(prime))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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