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A point moves so that the distance betwe...

A point moves so that the distance between the feet ofperpendiculars drawn from it to the lines `ax^2 +2hxy + by^2=0` is a constant 2k. The equation of its locus is

A

`(x^(2)+y^(2))(h^(2)+ab)=lamda^(2)[(a+b)^(2)-4h^(2)]`

B

`(x^(2)+y^(2))(h^(2)-ab)=lamda^(2)[(a-b)^(2)+4h^(2)]`

C

`(x^(2)-y^(2))(h^(2)-ab)=lamda^(2)[(a-b)^(2)-4h^(2)]`

D

None of the above

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The correct Answer is:
B
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER
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  16. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 ...

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  17. The slopes of lines represented by x^2+2hxy+2y^2=0 are in the ratio 1:...

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  18. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

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