If the line y=mx+c is a tangent to the e...

If the line y=mx+c is a tangent to the ellipse `x^(2)+2y^(2)=4`, then the minimum possible value of `c` is (a) `-sqrt(2)` (b) `sqrt(2)` (c) `2` (d) `1`

A

`-sqrt(2)`

B

`sqrt(2)`

C

2

D

1

Verified by Experts

Using condition of tangency, we get
`c^(2)=4m^(2)+2ge2AA m in R`
`:.c^(2)ge2`
`rArr|c|gesqrt(3)`

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