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If f(x)=(p^(2)-1)[tan^(-1)x]+4(q^(2)+2q...

If `f(x)=(p^(2)-1)[tan^(-1)x]+4(q^(2)+2q-3){(1)/(2+x^(2))}` + (p+q) sgn `(x^(2)-x+2)` is continuous in R and
`f(x_(1))=f(x_(2))AA x_(1),x_(2)in R,` then largest value of `|p+q|` is [Note : sgn (y),[y] and {y} denote signum function, greatest integer function and fractional part function respectively .]

A

0

B

2

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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