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Question: The least value of \| a \| for which tan q and cot q are the roots of the equation x<sup>2</sup> + a...

The least value of | a | for which tan q and cot q are the roots of the equation x2 + ax + b = 0 is-

A

2

B

1

C

½

D

0

Answer

2

Explanation

Solution

Since product of roots is one, b =1. Again since roots are real, a2 – 4 ³ 0. Thus least value of |a| is 2.