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The lines joining the origin to the points of intetsection of `x^2+y^2+2gx+c=0 and x^2+y^2+2fy-c=0` are at right angle is

A

`g^2+f^2=c`

B

`g^2-f^2=c`

C

`g^2-f^2=2c`

D

`g^2+f^2=c^2`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)
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  12. If 3x^(2)-11xy+10y^(2)-7x+13y+k=0 denotes a pair of straight lines, t...

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  13. The square of the distance of the point of intersection of the line 6x...

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  14. If the eqaution ax^(2)+2hxy +by^(2) +2g x +2fy+c=0 represents a pair ...

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  15. If the lines x^(2)+2xy-35y^(2)-4x+44y-12=0 and 5x+lambday-8=0 ae concu...

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  16. If O is the origin and OP,OQ are the tangents from the origin to the c...

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  17. The pair of straight line x^2-3xy+2y^2=0 and x^2-3xy+2y^2+x-2=0 from a...

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