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The Midpoint of the Line Segment Joining the Points P (2 , M) and Q (N , 4) is R (3 , 5) - Mathematics

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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.

बेरीज

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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The Mid-point of a Line Segment (Mid-point Formula)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Distance and Section Formulae - Exercise 12.3

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 12 Distance and Section Formulae
Exercise 12.3 | Q 26
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