Question

The Coordinate of the point which divides the join of A(2,4) and B(3,7) internally in the ratio 1:2 are​

Answer 1

Let the Coordinates of the point P which join A and B be (x, y).

• Point A Coordinate = (2 , 4)
• Point B coordinate = (3 , 7)
• Assumed Point P divides both Point A and B in ratio of 1:2

As We can find joining Point P using coordinate geometrical formulas.

Let the A(2,4) be (x1, y1) and B(3, 7) be (x2, y2) and Point P(x , y).

• Ratio 1:2 be m:n

→ x = (x1n + x2m)/m+n

→ x = (2×2+3×1)/1+2

→ x = (4+3)/3

→ x = 7/3

→ y = (y1n + y2m)/m+n

→ y = (4×2+7×1)/1+2

→ y = (8+7)/3

→ y = 15/3

→ y = 5

Hence,

The Coordinates of the Point P(7/3 , 5) which divides Point A and B.