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If the sum of the slopes of the lines gi...

If the sum of the slopes of the lines given by `4x^2+2lambdaxy-7y^2=4` is equal to the product of the slopes,then `lambda` is equal to?

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_1m_2x^2=0->(1)`
Now, the given equation is,
`4x^2+2lambdaxy -7y^2= 4`
`y^2-4/7x^2- 2/7lambdaxy = 0`
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