JEE MATHEMATICS MCQ: ELLIPSE

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The equation of a diameter conjugate to a diameter

y = \frac{b}{a}x

of the ellipse

\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1

View answer and explanation

Correct option: A

y = - \frac{b}{a}x

Option A (

y = - \frac{b}{a}x

) is correct because conjugate diameters of an ellipse satisfy the condition

{m_1}{m_2} = - \frac{{{b^2}}}{{{a^2}}}

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O