M.L Aggarwal book Important Question of class 10 chapter Based on Section Formula for ICSE BOARD.

You have to find two value for which mid-point of the line segment joining points are given.

This is the Question Number 10, Exercise 11 of M.L Aggarwal.

# The mid-point of the line segment joining the points (3m, 6) and ( – 4, 3n) is (1, 2m – 1). Find the values of m and n.

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Let the midpoint of line joining the points A(3m,6) and B(-4,3n) be C(1,2m-1).

Here x

_{1}= 3m, y_{1}= 6 , x_{2}= -4, y_{2}= 3nx = 1 , y = 2m-1

By Midpoint formula,

x = (x

_{1}+x_{2})/21 = (3m+-4)/2

3m-4 = 2

3m = 2+4

3m = 6

m = 6/3 = 2

By Midpoint formula,

y = (y

_{1}+y_{2})/22m-1 = (6+3n)/2

4m-2 = 6+3n

Put m = 2 in above equation

4×2-2 = 6+3n

8-2-6 = 3n

3n = 0

n = 0

Hence the value of m and n are 2 and 0 respectively.