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The condition for a line y = 2x + c to t...

The condition for a line y = 2x + c to touch the circle `x^(2) + y^(2) = 16` is

A

c = 10

B

`c^(2) = 80`

C

c = 12

D

`c^(2) = 64`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, c = c, m = 2 and `a^(2) = 16`
`because c^(2) = a^(2)(1+m^(2))`
`therefore c^(2) = 16(1+4) rArr c^(2) = 80`
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