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Location of Roots

cos x=b, for ...

Question

cos x = b, for what value b do the roots of the equation form an AP

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Solution

The correct option is A
For $b = - 1, c o s x = b \Rightarrow c o s x = - 1$ , which is satisfied for $x = π, 3 π, 5 π$ ..., which form an AP with common
difference $2 π$ , for other values of b, the roots of the equation are not in AP.

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