If fx=sgnx2-ax+1 has maximum number of points of discontinuity then

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a∈2,∞

a∈-∞,-2

a∈-2,2

none of these

answer is A.

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Detailed Solution

For maximum points of discontinuity offx=sgnx2-ax+1x2-ax+1=0 must have two distinct roots, for whichD=a2-4>0or a∈-∞,-2∪2,∞

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