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WAEC Mathematics 2021 Theory — Question 20

Question 20 of 22 from the West African Examinations Council (WAEC) Mathematics 2021 Theory paper, with the correct answer and a full explanation.

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12(b). The coordinates of two points P and Q in a plane are (7,3) and (5,x) respectively, where x is a real number. If |PQ|=√29 units, find the value of x.

Model answer

|PQ|²=(7-5)²+(3-x)² → 29=4+(3-x)² → (3-x)²=25 → 3-x=±5. So x=-2 or x=8.

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