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Find the angle between the lines represe...

Find the angle between the lines represented by `x^2+2x ysectheta+y^2=0`

Text Solution

Verified by Experts

The correct Answer is:
`theta`
Let `phi` be the angle between the lines respresented by
`x^(2)+2xysectheta+y^(2)=0` (1)
Here , `a=1,b=1and h=sectheta`. Hence,
`tanphi=(2sqrt(sec^(2)theta-1xx1))/(1+1)`
`=(2sqrt(sec^(2)theta-1))/(1)=tantheta`
`:.phi=theta`
Hence , the angle between the lines is `theta`.
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