The mid point of the line segment joining the points A(1,7) and B(-5,-

1.	The mid point of the line segment joining the points A(1,7) and B(-5,-3) is
Answer» ution!! The concept of co-ordinate geometry has to be used here. Let P be the mid-point of the line segment joining the points A(x₁ , y₁) and B(x₂ , y₂). Required to find the co-ordinates of P. Suppose P = (x , y). Given:- A = (1 , 7) B = (-5 , -3) Now, Mid-point = ((x₁ + x₂)/2 , (y₁ + y₂)/2) P(x , y) = ((1 + (-5))/2 , (7 + (-3))/2) P(x , y) = (-4/2 , 4/2) P(x , y) = (-2 , 2) The mid point of the line segment joining the points A(1,7) and B(-5,-3) is (-2 , 2). More information:- For any two given points in a co-ordinate (Cartesian) plane, the KNOWLEDGE of co-ordinate geometry may be used to find: • the distance between the given points, • the co-ordinates of a given point which divides the line joining the given points in a given ratio, • the co-ordinates of the mid-point of the line segment joining the two given points, • equation of the line through the given points, • equation of the perpendicular BISECTOR of the line segment obtained on joining the given two points, etc.

The mid point of the line segment joining the points A(1,7) and B(-5,-3) is

Answer»

ution!!

The concept of co-ordinate geometry has to be used here.

Let P be the mid-point of the line segment joining the points A(x₁ , y₁) and B(x₂ , y₂). Required to find the co-ordinates of P. Suppose P = (x , y).

A = (1 , 7)

B = (-5 , -3)

Mid-point = ((x₁ + x₂)/2 , (y₁ + y₂)/2)

P(x , y) = ((1 + (-5))/2 , (7 + (-3))/2)

P(x , y) = (-4/2 , 4/2)

P(x , y) = (-2 , 2)

The mid point of the line segment joining the points A(1,7) and B(-5,-3) is (-2 , 2).

For any two given points in a co-ordinate (Cartesian) plane, the KNOWLEDGE of co-ordinate geometry may be used to find:

• the distance between the given points,

• the co-ordinates of a given point which divides the line joining the given points in a given ratio,

• the co-ordinates of the mid-point of the line segment joining the two given points,

• equation of the line through the given points,

• equation of the perpendicular BISECTOR of the line segment obtained on joining the given two points, etc.