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If alpha and beta are such that the func...

If `alpha and beta` are such that the function f (x)
defined by f (x) = `{:{(alphax^(2) - beta",","for"|x|lt 1),((_1)/(|X|)",","for"|x|ge1):}`
is differentiable everywhere, then the ordered pair `(alpha,beta)` =

A

`(-(1)/(2),-(3)/(2))`

B

`((1)/(2),-(3)/(2))`

C

`((1)/(2),(3)/(2))`

D

`(-(1)/(2),(3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)-Mathematics
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