passwella.
Menu

JAMB Mathematics 2000 Question 33

Question 33

Coordinate Geometry

A predator moves in a circle of radius √2 centre (0, 0), while a prey moves along the line y = x. If 0 ≤ x ≤ 2, at which point(s) will they meet?

  1. A.(1, 1) only
  2. B.(1, ) and (1, 2)
  3. C.(0, 0) and (1, 1)
  4. D.(√2, √2) only
Show the answer and explanation

Answer: A ((1, 1) only)

Explanation

The circle is x2 + y2 = 2. Putting y = x gives 2x2 = 2, so x = ±1. Only x = 1 is in the range, so they meet at (1, 1) only.