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The equation of a tangent to the hyperbo...

The equation of a tangent to the hyperbola `3x^(2)-y^(2)=3`, parallel to the line `y = 2x +4` is

A

`y = 2x +3`

B

`y = 2x+1`

C

`y = 2x+4`

D

`y = 2x+2`

Text Solution

Verified by Experts

The correct Answer is:
B
`3x^(2) - y^(2) = 3, (x^(2))/(1) -(y^(2))/(3) =1`
Equation of tangent in terms of slope.
`y = mx +- sqrt((m^(2)-3))`
Here, `m =2`,
then `y = 2x +-1`
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