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Class 12 Relations And Functions · Conceptual Answer1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Conceptual Answer #158

Does R={(a,b)∈R²:√a=b} define a function from all of R to R?

✅ Step-by-Step Solution

Final Answer: No; its natural real domain is [0,∞), not all of R.
  1. A negative real input has no real square root and therefore has no image.
  2. No; its natural real domain is [0,∞), not all of R.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] A negative real input has no real square root and therefore has no image.
  • [0.5 marks] No; its natural real domain is [0,∞), not all of R.

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