# If the equation x2 - kx + 1 = 0 has no real roots thenA. k < - 2B. k > 2C. - 2 < k < 2D. none of these

Given the equation x2 - kx + 1 = 0 has no real roots

a = 1 b = - k c = 1

Thus D = b2 - 4ac < 0

( - k)2 - 4.1.1 < 0

k2 - 4 < 0

k2 < 4

- 2 < k < 2

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