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Statement 1: The equation of the common ...

Statement 1: The equation of the common tangent to the curves `y^2 = 8x and xy= -1` is `y=x+2`.
Statement 2: Curves `y^2 = 8x and xy=-1` intersect at `(1/2, -2)`.
(A) Both 1 and 2 are true and 2 is the correct explanation of 1
(B) Both 1 and 2 are true and 2 is not correct explanation of 1
(C) 1 is true but 2 is false
(D) 1 is false but 2 is true

A

`3y = 9x + 2`

B

`y = 2x + 1`

C

`2y = x + 8 `

D

`y = x + 2`

Text Solution

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The correct Answer is:
D
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Find the equation of the common tangent to the curves y^2=8x and xy=-1.

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