EllipseHard

Question

Which of the following is the common tangent to the ellipse = 1 & = 1 ?

Options

A.ay = bx +
B.by = ax -
C.ay = bx -
D.by = ax -

Solution

Let equations of tangent to the two ellipse are
y = mx ±     ....... (i)
y = mx ±     ....... (ii)
On solving (i) and (ii) we get m = ±
Put solving of m in (i) to get the answer.

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