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10-2. Parabola, Ellipse, Hyperbola
easy
In the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$, the equation of diameter conjugate to the diameter $y = \frac{b}{a}x$, is
A
$y = - \frac{b}{a}x$
B
$y = - \frac{a}{b}x$
C
$x = - \frac{b}{a}y$
D
None of these
Solution
(a) $y = \frac{{ – b}}{a}x$
(Two diameter $y = {m_1}x$ and $y = {m_2}x$ will be conjugate diameter,if ${m_1}{m_2} = – \frac{{{b^2}}}{{{a^2}}}$).
Standard 11
Mathematics