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If `a ,b ,c` are three distinct positive real numbers, the number of real and distinct roots of `a |x^2|+2b|x|-c=0` is a.`0` b. `4` c. `2` d. none of these

A

0

B

4

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
3
Here a, b, c are positive. So,
`|x| = -b + sqrt(b^(2) + ac)`, as `|x| ge 0`.
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