MATHEMATICS

JAMB 2010 - Question 35

Mathematics 2010 JAMB Past Questions - Question 35: Find the distance between the points (1/2 ,1/2) and (-1/2 ,-1/2)

Find the distance between the points (1/2 ,1/2) and (-1/2 ,-1/2)
A:
B:
C:
D:
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Correct Answer

A

Explanation

√(½ + ½)² + (½ + ½) = √ 1 +1 = √2To find the distance between two points in a coordinate plane, we can use the distance formula:d = √((x2 - x1)² + (y2 - y1)²)Given the points (1/2, 1/2) and (-1/2, -1/2), we can substitute the coordinates into the distance formula:d = √((-1/2 - 1/2)² + (-1/2 - 1/2)²)Simplifying the equation, we have:d = √((-1)² + (-1)²)d = √(1 + 1)d = √2Therefore, the distance between the points (1/2, 1/2) and (-1/2, -1/2) is √2 or approximately 1.414.