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JAMB Mathematics 2019 Paper

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Question : 73

Total: 73

Find the distance between the points C(2, 2) and D(5, 6).

13 units
7 units
12 units
5 units

Solution:

Concept:

Use the distance formula to find the length between two coordinate points.

Explanation:

Let

C(2,2)

be

(x_1,y_1)

and

D(5,6)

be

(x_2,y_2)

.

Horizontal difference:

x_2 - x_1 = 5 - 2 = 3

.

Vertical difference:

y_2 - y_1 = 6 - 2 = 4

.

Apply the formula

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

.

Substitute:

d = \sqrt{3^2 + 4^2} = \sqrt{9 + 16}

.

Simplify:

d = \sqrt{25} = 5

units.

Answer:

D. 5 units

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