WAEC Mathematics

If MM and NN are the points (3,8)(-3,8) and (5,7)(5,-7) respectively, find MNMN.

a.

8 units

b.

11 units

c.

15 units

d.

17 units

Correct answer: D

We are told to find the distance between points MM and NN. The distance between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) on the x-y plane is (x1y2)2+(x2y2)2\sqrt{(x_1-y_2)^2+(x_2-y_2)^2}. The distance between the two points MM and NN will be

(35)2+(8(7))2=(8)2+(15)2=64+225=289=17\sqrt{(-3-5)^2+(8-(-7))^2}\\ = \sqrt{(-8)^2+(15)^2} \\ = \sqrt{64+225} = \sqrt{289} = 17

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