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Angle between the lines represented by t...

Angle between the lines represented by the equation `x^2+2xysec theta +y^2=0` is
(A) `theta`
(B) `2theta`
(C) `theta/2`
(D) None of these

Text Solution

Verified by Experts

Let we have below two lines that represent the given equation.
`y-m_1x = 0` and `y-m_2x=0`
Combined equation of these two lines will be,
`(y-m_1x)(y-m_2x) = 0`
`y^2-(m_1+m_2)xy+m_m_2x^2=0`
Comparing this with the given equation,
`m_1+m_2 = -2sectheta`
`m_1m_2 = 1`
...
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