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which one of the following is the common tangent to the ellipses, `x^2/(a^2+b^2)+y^2/b^2=1` and `x^2/a^2+y^2/(a^2+b^2)=1`?

A

`ay = bx + sqrt(a^4 -a^2b^2 +b^4`

B

`by = ax - sqrt(a^4 +a^2b^2 +b^4`

C

`ay = bx - sqrt(a^4+-a^2b^2 +b^4`

D

`by = ax - sqrt(a^4 -a^2b^2 +b^4`

Text Solution

Verified by Experts

The correct Answer is:
B
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