x2-11x+a and x2-14x+2a will have a common factor, if a=

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0, 24

3, 24

0, 3

answer is B.

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Detailed Solution

Expressions are x2-11x+a and x2-14x+2a will have a common factor, then⇒x2-22a+14a=xa-2a=1-14+11⇒x2-8a=x-a=1-3⇒x2=8a3and x=a3⇒(a3)2=8a3⇒a29=8a3 ⇒a=0, 24

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