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प्रश्न
If P (2, p) is the mid-point of the line segment joining the points A (6, −5) and B (−2, 11). find the value of p.
उत्तर
It is given that mid-point of line segment joining A (6,−5) and B (−2, 11) is P (2P)
In general to find the mid-point P ( x , y) of two points `A (x_1 , y_1) "and " B (x_2 , y_2)` we use section formula as,
`P ( x, y) = ((x_1 + x_2 )/2 , (y_1 + y_2)/2)`
So,
`(2, p) = ((6-2)/2 , (-5+11)/2)`
Now equate the y component to get,
p = 3
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