If the curves a 2 x 2 + b 2 y 2 = 1 and l 2 x 2 − m 2 y 2 = 1 cut each other orthogonally then .

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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minQB

MathematicsMediumsingle choice

If the curves $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ and $\frac{x ^{2}}{l ^{2}} - \frac{y ^{2}}{m ^{2}} = 1$ cut each other orthogonally then .

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If the curves $a_{1} x^{2} + b_{1} y^{2} = 1, a_{2} x^{2} + b_{2} y^{2} = 1$ cut each other orthogonally then apply $\frac{1}{a _{1}} - \frac{1}{b _{1}} = \frac{1}{a _{2}} - \frac{1}{b _{2}}$ $\Rightarrow a^{2} - b^{2} = l^{2} + m^{2}$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Tangents & Normals

⏱ 2mℹ️ Source: QB

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