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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` has perpendicular diagonals, then `b^2+c^2=b^('2)+c^('2)` `c^2+a^2=c^('2)+a^('2)` `a^2+b^2=a^('2)+b^('2)` (d) none of these

A

`b^(2)+c^(2)=b^(,2)+d^(2)`

B

`c^(2)+a^(2)=d^(2)+a^(,2)`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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