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JAMB Mathematics 1992 Question 32

Question 32

Coordinate Geometry

What is the perpendicular distance of a point (2,3) from the line 2x − 4y + 3 = 0?

  1. A.√5/2
  2. B.√5/−20
  3. C.5/√13
  4. D.0
Show the answer and explanation

Answer: A (√5/2)

Explanation

Distance = |2(2) − 4(3) + 3|/√(22 + 42) = 5/√20 = 5/(2√5) = √5/2.