For what value of b, will the roots of the equation x=b, -1 b 1 when arranged in ascending order of their magnitudes, form an A.P.?

JEE Main Mathematics question

For what value of , will the roots of the equation , when arranged in ascending order of their magnitudes, form an A.P.?

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

For with the roots are ; arranged in ascending order they are equally spaced only for special . For the roots are , equally spaced by , so they form an AP; for the other listed values (,

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Question ID VK-021938