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