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Q.

If a and b (a>b) are points of discountinuity of the function

⨍ (x)=3-2x2,⨍ or x≤02x+3,⨍ or 0<x≤12x2-3x,⨍ or 1<x<22x-3,⨍ or 2≤x<3x,⨍ or x≥3

then 3a-b=

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a

3

b

7

c

5

d

1

answer is C.

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Detailed Solution

Ltx0f(x)=Ltx032x2=3,Ltx0+f(x)=Ltx0+2x+3=3Ltx1f(x)=Ltx12x+3=5,Ltx1+f(x)=Ltx1+2x23x=1Ltx2f(x)=Ltx22x23x=0, Ltx2+f(x)=Ltx2+2x3=1a=2,b=13ab=5 

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