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If the equation 2x^2+k x y+2y^2=0 repres...

If the equation `2x^2+k x y+2y^2=0` represents a pair of real and distinct lines, then find the values of `kdot`

Text Solution

Verified by Experts

The correct Answer is:
`kin(-infty,-4)uu(4,infty)`
The given equation will represent a pair of real and distinct lines if
`h^(2)gtab`
i.e.,`(-(k)/(2))^(2)gt(2)(2)`
or `k^(2)gt16`
or `(k-4)(k+4)gt0`
i.e.,`kin(-infty,-4)uu(4,infty)`
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