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Question

If the equation x2 − ax + 1 = 0 has two distinct roots, then

(a) |a| = 2
(b) |a| < 2
(c) |a| > 2
(d) None of these

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Solution

The given quadric equation is , and roots are distinct.

Then find the value of a.

Here,

As we know that

Putting the value of

The given equation will have real and distinct roots, if

Therefore, the value of

Thus, the correct answer is


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