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If theta is the acute angle between the ...

If `theta` is the acute angle between the lines given by `x^(2)-2pxy+y^(2)=0`, then

A

`costheta=p`

B

`tan theta=p`

C

`sec theta=p`

D

`cot theta =p`

Text Solution

Verified by Experts

The correct Answer is:
C
We have ,`a=1,b=1 and h=-p`
`therefore tan theta=(2sqrt(h^2-ab))/(a+b)`
`rArr tantheta=sqrt(p^2-1)rArr 1+tan^2theta=p^2`
`rArr sec^2theta=p^2rArr sectheta=p`
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