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Q.

f(x)={x+1ifx≤13−ax2ifx>1    is continuous at x= 1, then a =______

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a

1

b

2

c

3

d

12

answer is A.

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Detailed Solution

LHL-limx→1-f(x)= limx→1-x+1=2 RHL=limx→1+f(x)=limx→1+3-ax2=3-a LHL=RHL 2=3-a⇒a=1
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