The straight lines y=+-x intersect the p...

The straight lines `y=+-x` intersect the parabola `y^(2)=8x` in points P and Q, then length of PQ is

`4sqrt(2)`

`8`

`16`

Text Solution

Verified by Experts

The correct Answer is:

We have, `y^(2)=8x`
`thereforey^(2)=+-8y" "[becausex=+-y]`
`impliesy^(2)underset(+)(-)8y=0impliesy(y+-8)=0`

`impliesy=0,+-8`
`thereforeP(8.8),Q=(8,-8)`
`therefore` Length of `PQ=sqrt((16)^(2)+(0)^(2))=16`

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