13. The value of k for which the equation kx (x - 2) + 6 = 0 has non real roots is
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The eqn is kx^2 - 2kx + 6 = 0
Here a = k, b= -2k, c = 6
Roots will be unreal if determinant is less than zero
b^2 - 4ac is less than 0
(-2k)^ - 4(k)(6) is less than 0
4k^2 is less than 24k
k^2 less than 6k
k less than 6 Ans
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