Question

20) The co-ordinates of the mid-point of the line segment joining the points (2,3)
and (4,7) are
A) (-3,-5)
B) (1,2)
C) (3,5)
D) (6,10)​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Question :

The co-ordinates of the mid point of the line segment joining the point (2,3) and (4,7) are :

• A) (-3,-5)
• B) (1,2)
• C) (3,5)
• D) (6,10)​

Solution :

Consider the coordinates of the first point, say A as (x₁,y₁) = (2,3) and the coordinates of the second point, say B as (x₂,y₂) = (4,7).

Using the midpoint formula, we get :

⟶ x = (x₁,+x₂)/2 and y = (y₁+y₂)/2.

Substituting we get :

⟶ x = (2 + 4)/2

⟶ x = 6/2

⟶ x = 3

and

⟶ y = (3 + 7)/2

⟶ y = 10/2

⟶ y = 5

• So the coordinates of the midpoint of the line segment joining the points (2,3)  and (4,7) is (3,5).