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NDA 1 2024 Maths, question 53

Topic: Analytical geometry

Q53

The number of points represented by the equation x=5x=5 on the xyxy-plane is

  1. (a) Zero
  2. (b) One
  3. (c) Two
  4. (d) Infinitely manyCorrect answer

Solution.

Answer: (d) Infinitely many

  1. The given distance condition simplifies to x = 5; the y-coordinate remains unrestricted.
  2. Thus the locus is the full line x = 5, not a single point or a bounded segment.