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MHT CET202415 May 2024Evening ShiftMathematicsQuadratic EquationActual

The Number of values of C that satisfy the conclusion of Rolle's theorem in case of following function f (x)= 2 x, x [-1,1] is

Options

  1. A02
  2. B04
  3. C03
  4. Dzero

Correct answer

B. 04

Step-by-step solution

array ll & f (x)= 2 x & f ^ (x)=2 2 x & Now, f ^ ( C )=0 & 2 2 C =0 array aligned & 2 C =0 & 2 C = -3 2 , - 2 , 2 , 3 2 & [ x (-1,1) 2 x (-2 , 2 )] & C = -3 4 ,- 1 4 , 1 4 , 3 4 aligned Number of values of C =4

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