A line intersects the y axis and x axis at the points p and q respectively, if 2,-5 is the mid point of the pq then find the co-ordinates of p and q
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In one case, we have x = 0.
In another, we have y = 0.
Using the midpoint theorem, we know that
M.P. = {(x1 + x2 / 2), (y1 + y2 / 2)}.
Now, taking x1 and y2 as 0, we get:
(0 + x2) / (2) = 2 and (y1 + 0) / (2) = (-5).
x2 / 2 = 2 and y1 / 2 = (-5).
x2 = 4 and y1 = (-10).
P coordinates = (0,-10)
Q coordinates = (4,0).
Hope it helps! If so, please mark my answer as brainliest.
In another, we have y = 0.
Using the midpoint theorem, we know that
M.P. = {(x1 + x2 / 2), (y1 + y2 / 2)}.
Now, taking x1 and y2 as 0, we get:
(0 + x2) / (2) = 2 and (y1 + 0) / (2) = (-5).
x2 / 2 = 2 and y1 / 2 = (-5).
x2 = 4 and y1 = (-10).
P coordinates = (0,-10)
Q coordinates = (4,0).
Hope it helps! If so, please mark my answer as brainliest.
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