Find the points on the ellipse a2x2+b2y2=1 such that the tangent at each point makes equal angles with the axes.

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Find the points on the ellipse {{{x}^{{2}}}}{{{a}^{{2}}}}+{{{y

Question

Find the points on the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ such that the tangent at each point makes equal angles with the axes.

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Lucas Discussed

Find the points on the ellipse

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

such that the tangent at each point makes equal angles with the axes.

14 mins ago

Discuss this question LIVE

14 mins ago

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Question Text

Find the points on the ellipse

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

such that the tangent at each point makes equal angles with the axes.