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NDA 2 2025 Maths, question 62

Topic: Analytical geometry

Q62

If the vertices BB and DD of a square ABCDABCD are (2,3)(2,3) and (4,1)(4,1) respectively, then what is the area of the square?

  1. (a) 2 square units2\text{ square units}
  2. (b) 3 square units3\text{ square units}
  3. (c) 4 square units4\text{ square units}Correct answer
  4. (d) 8 square units8\text{ square units}

Solution.

Answer: (c) 4 square units4\text{ square units}

  1. B and D are opposite vertices, so BD is a diagonal.
  2. Its square is (4−2)²+(1−3)²=8.
  3. A square with diagonal d has area d²/2=4 square units.