MATHEMATICS

JAMB 2004 - Question 32

Mathematics 2004 JAMB Past Questions - Question 32: Find the midpoint of the line joining P(-3,5)and Q(5,-3)

Find the midpoint of the line joining P(-3,5)and Q(5,-3)
A:
B:
C:
D:
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Correct Answer

D

Explanation

To find the midpoint of the line joining P(-3, 5) and Q(5, -3), we can use the midpoint formula.The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by:M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)In this case, the coordinates of P are (-3, 5) and the coordinates of Q are (5, -3).Using the midpoint formula, we can calculate the coordinates of the midpoint:M = ((-3 + 5) / 2, (5 + -3) / 2)Simplifying:M = (2 / 2, 2 / 2)M = (1, 1)Therefore, the midpoint of the line joining P(-3, 5) and Q(5, -3) is (1, 1).