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CAT 2022 Slot 3 · Quant · Coordinate Geometry · easy

Find the area (in square units) of the triangle formed by the points (2, 3), (6, 3) and (4, 9).

Single correct option

Find the area (in square units) of the triangle formed by the points (2, 3), (6, 3) and (4, 9).
  1. A. 10
  2. B. 12
  3. C. 14
  4. D. 16
Show answer and solution

Answer: (B) 12

The side from (2,3) to (6,3) is horizontal with length 4, so it can be taken as the base. The height is the perpendicular distance from (4,9) to the line y = 3, which is 9 − 3 = 6. Area = ½ × base × height = ½ × 4 × 6 = 12 square units.
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Original question written in the CAT 2022 Slot 3 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake