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The condition that y=m x+c is a tangent ...

The condition that `y=m x+c` is a tangent to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))`=1 is

A

`b^(2)=c^(2) m^(2)+a^(2)`

B

`c^(2)=a^(2) m^(2)-b^(2)`

C

`a^(2)=b^(2) m^(2)+c^(2)`

D

`c^(2)=a^(2) m^(2)+b^(2)`

Text Solution

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The correct Answer is:
D
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