If (1, p/3) is the mid-point of the line segment joining the points (2, 0) and (0, 2/9), then show that the line 5x + 3y + 2 = 0 passes through the point (–1, 3p).
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Answer:
Since (1, p/3) is the mid-point of the line segment joining the points (2, 0) and (0, 2/9)
Therefore, p/3 = (0 + 2/9)/2
p = 1/3
The line 5x + 3y + 2 = 0 passes through the point (–1, 1) as 5(–1) + 3(1) + 2 = 0
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Step-by-step explanation:
Since (1, p/3) is the mid-point of the line segment joining the points (2, 0) and (0, 2/9)
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