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27. For second degree polynomial it is seen that the roots are equal. Then what is the relationbetween the Rolles point c and the root x?(a) c=x2(b) They are independent(c) c = x(d) none of these |
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Answer» a) TrueStep-by-step explanation:The key here is to rewrite the function as y = -(X – 1)2 + 1Observe here that on substituting – 19765 and 19767 in the equation we GET(-19766)2 + 1 and (-19766)2 + 1 respectively.As we are dealing with their SQUARED values they have to be equalWe havef(-19765) = f(19767)Polynomial functions are continuous and differentiable over the whole domain and hence by Rolles Theorem we must have a c such that f'(c) = 0 in the INTERVAL [-19765, 19767]Hence, the claim is true. |
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