Question

The point p which divides (-2,5)and(-5,2) in the ratio 1:2 is

Answer 1

Given :

• Coordinates of A = ( - 2 , 5 )

• Coordinates of B = ( - 5 , 2 )

• Ratio ( m : n ) = 1 : 2

To Find :

• Coordinates of point which divides the line in 1 : 2

Solution :

x = ( m₁ x₂ + m₂ x₁ ) / m₁ + m₂

→ x = [ ( 1 × ( - 5 ) + 2 × ( - 2 ) ] / 1 + 2

→ x = [ - 5 - 4 ] / 3

→ x = - 9 / 3

→ x = - 3

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y = ( m₁ y₂ + m₂ y₁ ) / m₁ + m₂

→ x = ( 1 × 2 + 2 × 5 ) / 1 + 2

→ y = ( 2 + 10 ) / 3

→ y = 12 / 3

→ y = 4

Coordinates of point p is ( - 3 , 4 )