Assertion :For K>0, let f(x)=⎧⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪⎨⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪⎩√x2−1,x≤−1K√π−√cos−1xx+1,−1<x<0√1−x2,0≤x<11sin(x−1)−1tan(x−1),x>1 then f is a discontinuous function Reason: f has a break point at x=1
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution
The correct option is C Assertion is correct but Reason is incorrect limx→1−f(x)=Klimx→1−√π−√cos−1x√x+1=Klimy→π√π−√y√1+cosy(cos−1x=y)