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

Engineering

Mathematics

Standard Hyperbola

Question

$\sqrt{2}$

None of these

$\frac{1}{\sqrt{2}}$

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r² = $\frac{{l_{1}}^{2}}{4} + k^{2} = \frac{{l_{2}}^{2}}{4} + h^{2}$
h² – k² = $\frac{{l_{1}}^{2} - {l_{2}}^{2}}{4}$ .

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