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If the polynomial equation an x^n + a(n-...

If the polynomial equation `a_n x^n + a_(n-1) x^(n-1) + a_(n-2) x^(n-2) + ....... + a_0 = 0, n` being a positive integer, has two different real roots `a` and `b`. then between `a` and `b` the equation `na_n x^(n-1) +(n-1)a_(n-1) x^(n-2) +.......+a_1 =0` has

A

exactly one root

B

almost one root

C

at least one root

D

no root

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-MEAN VALUE THEOREMS-Exercise
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  19. The value of c in Lgrange's Mean Value theorem for the function f(x)...

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