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प्रश्न
The midpoint of the line segment joining the points P (2 , m) and Q (n , 4) is R (3 , 5) . Find the values of m and n.
उत्तर
Given : PR : RQ = 1 : 1
Coordinates of R are ,
R (3 , 5) = R `((2 + "n")/2 , ("m" + 4)/2)`
B = `(2 + "n")/2 , 5 = ("m" + 4)/2`
6 = 2 + n , 10 = m + 4
n = 4 , m = 6
The values of m and n are 6 and 4 respectively.
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| 1 | C | E | (1, 0) | (3,4) | `4/2=2` |
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Point P is the centre of the circle and AB is a diameter. Find the coordinates of points B if coordinates of point A and P are (2, – 3) and (– 2, 0) respectively.
Given: A`square` and P`square`. Let B (x, y)
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∴ Mid point formula,
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Hence coordinates of B is (– 6, 3).
