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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: Let f : R → R be defined by is irrationalis rationalf(x)={xx is irrational1-xx is rational then f is - Mathematics

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Question

Choose the correct alternative:

Let f : R → R be defined by `f(x) = {{:(x, x  "is irrational"),(1 - x, x  "is rational"):}` then f is

Options

  • Discontinuous at x = `1/2`

  • Continuous at x = `1/2`

  • Continuous everywhere

  • Discontinuous everywhere

MCQ

Solution

Continuous at x = `1/2`

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Chapter 9: Differential Calculus - Limits and Continuity - Exercise 9.6 [Page 131]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 9 Differential Calculus - Limits and Continuity
Exercise 9.6 | Q 22 | Page 131

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