InterviewSolution
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InterviewSolution
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Let a, b and c be non - zero real numbers such that ` int _(0)^(3) (3ax ^(2) + 2bx +c) dx = int _(1)^(3) (3ax^(2) + 2bx +c) dx` , thenA. `a+b+c= 3`B. `a+b+c=1`C. `a+b+c=0`D. `a+b+c=2` |
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Answer» Correct Answer - C `int_(0)^(3)(3ax^(2)+2bx+c)dx=int_(1)^(3)(3ax^(2)+2bx+c)dx` `rArr int_(0)^(1)(3ax^(2)+2bx+c)dx+int_(1)^(3)(3ax^(2)+2bx+c)dx` `=int_(1)^(3)(3ax^(2)+2bx+c)dx` `rArr" "int_(0)^(1)(3ax^(2)+2bx+c)dx=0` `rArr" "[(3ax^(3))/(3)+(2bx^(2))/(2)+cx]_(0)^(1)=0` `rArr" "a+b+c=0` |
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