Find the distance between the point Q (4,3) and the point common to the lines 2x - y = 4 and x + y = 2

Assessment: JAMB UTME - Mathematics - 1997 Subject: General Mathematics

Question 1 Report

Find the distance between the point Q (4,3) and the point common to the lines 2x - y = 4 and x + y = 2
Answer Details
To find the distance between point Q and the point common to the lines 2x - y = 4 and x + y = 2, we need to first find the coordinates of the point of intersection of the two lines. We can solve the system of equations: 2x - y = 4 x + y = 2 by either substitution or elimination to get the coordinates of the point of intersection, which is (1, 1). Then, we can use the distance formula to find the distance between point Q (4, 3) and (1, 1): d = √[(4 - 1)² + (3 - 1)²] = √[9 + 4] = √13. Therefore, the answer is √13.
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