A line intersects the Y axis and X axis at the points P and Q respectively . if (2,-5) is the mid point of PQ , then find co ordinates of P and Q
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Answer:
The line is PQ such that coordinates of P are (0,y) and Q (x,0)
[P is on Y-axis and Q is on X-axis]
The mid point of PQ is M (2,-5)
∴ By mid point formula:
x = (x1 + x2)/2 , y = y1 + y2/2
=> 2 = (0 + x)/2 => -5 = (y + 0)/ 2
=> 4 = 0 + x => -10 = y + 0
∴ x = 4 => ∴ y = -10
∴ P is (0, -10) and Q is (4, 0)
Anonymous:
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