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The equation of the tangent to the parab...

The equation of the tangent to the parabola `3x^(2) - 4y^(2) = 12`, which makes equal intercepts on the axes is

A

`x-y+1=0`

B

`x+y+1=0`

C

`x+y-1=0`

D

All are correct

Text Solution

Verified by Experts

The correct Answer is:
D
A line which makes equal intercepts having slop = -1
`y= -x+c`
Condition of tangency
`c= pm sqrt(a^(2)m^(2)-b^(2)) = pm sqrt(4-3)= pm1`
`y= -x pm 1=y+x pm 1=0`
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