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The Mid Point of the Line Segment Joining the Points (P, 2) and (3, 6) is (2, Q). Find the Numerical Values of a and B. - Mathematics

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Question

The mid point of the line segment joining the points (p, 2) and (3, 6) is (2, q). Find the numerical values of a and b. 

Sum

Solution

AC : CB = 1 : 1

Coordinates of C are , 

C (2 , q) = C `(("p" + 3)/2 , (2 + 6)/2)`

`2 = ("p" + 3)/2` , q = 4

4 = p + 3 , q = 4

p = 1 , q = 4

the values of p and q are 1 and 4 respectively.

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The Mid-point of a Line Segment (Mid-point Formula)
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Chapter 12: Distance and Section Formulae - Exercise 12.3

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 12 Distance and Section Formulae
Exercise 12.3 | Q 27

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