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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

A

4

B

`4sqrt2`

C

8

D

16

Text Solution

Verified by Experts

The correct Answer is:
D
WE have, `y^(2)=8x `
`thereforey^(2)=+-8y`
`rArr y^(2) pm8y=0 rArry(y+-8)=0`
`rArr y=0,+-8`
`therefore P(8,8),Q=(8,8)`
`therefore` length of pQ `=sqrt((16)^(2)+(0)^(2)=16)`
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