JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Analyzing +4 | -1

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

View answer and explanation

Correct option: C

{a^2} - {b^2} = {l^2} + {m^2}

Option C (

{a^2} - {b^2} = {l^2} + {m^2}

) is correct because it is derived from the condition for orthogonal intersection of the two given curves.

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