WAEC Mathematics 2018 Theory — Question 21

Question 21 of 23 from the West African Examinations Council (WAEC) Mathematics 2018 Theory paper, with the correct answer and a full explanation.

13.(a) The points R(3,−6), S(6,−2) and T(p,q) are on the x–y plane. If ⅓OR + OS + OT = RS, find the coordinates of T.

Model answer

⅓(3,−6)+(6,−2)+(p,q) = (6−3,−2+6) = (3,4). (1,−2)+(6,−2)+(p,q)=(3,4) → (7+p, −4+q)=(3,4) → p=−4, q=8. T = (−4, 8).

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