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  4. The locus of centre of circle which cuts two perpendicular lines so that each intercept has given length, is a conic whose eccentricity is

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Q. The locus of centre of circle which cuts two perpendicular lines so that each intercept has given length, is a conic whose eccentricity is

Conic Sections

Solution:

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$r ^2=\frac{l_1^2}{4}+ k ^2=\frac{l_2^2}{4}+ h ^2$
$ h ^2- k ^2=\frac{l_1^2-l_2{ }^2}{4} $