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WAEC Mathematics 2017 Paper

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Question : 19

Total: 49

If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ

6 units
5 units
4 units
2 units

Solution:

Concept:

The distance between two points is found using the distance formula.

Explanation:

Let

P(x_1, y_1) = P(2, 3)

and

Q(x_2, y_2) = Q(2, 5)

.

Distance

PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

.

Substitute the values:

PQ = \sqrt{(2 - 2)^2 + (5 - 3)^2}

.

Simplify:

PQ = \sqrt{0^2 + 2^2} = \sqrt{0 + 4} = \sqrt{4}

.

Therefore,

PQ = 2

units.

Answer:

D. 2 units

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