MCQ
If $5{x^2} + \lambda {y^2} = 20$ represents a rectangular hyperbola, then $\lambda $ equals
- A$5$
- B$4$
- ✓$-5$
- DNone of these
if $\Delta \ne 0,\,\,{h^2} > ab$ and
coefficient of ${x^2} + $ coefficient of ${y^2} = 0$.
Therefore the given equation represents a rectangular hyperbola,
if $\lambda + 5 = 0$ $i.e.$, $\,\lambda = - 5$.
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