NCERT 12 Maths Ex 5.8 Ch 5 Continuity & Differentiability hints & solutions

This exercise is based on the concept of Rolle's Theorem & Mean Value Theorem.
Questions are solved at following timing:
1 10:54
2 29:38
3 47:28
5 51:46
6 1:01:15
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In que 5 in we have a eqñ like ax²+bx+c when we finds f'(c) =0 ,(all values of c) we have b=-10 in eqñ and in the formula of solving quadratic eqñ we uses -b± √b²-4ac / 2a so we should get +10±√10²-4×3×(-3) / 2×3. But sir used -10±√10²......... Because of not taking minus sign we get wrong answer .

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Questions 1 10:54 2 29:38 3 47:28 5 51:46 6 1:01:15

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44:52

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Sir, why do we verify the rolle's theorem or mean value theorem for any function? What is need of that?

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