Question

find a point on y axis which is equidistant from the both the points a(6,5)and b(-4,3)​

Answer 1

Given:

• A (6, 5)
• B (-4, 3)

To find:

Point on Y axis which is equidistant from A and B

Solution:

Applying Midpoint formula for X axis,

Midpoint = (x₁ + x₂) ÷ 2

⇒ Midpoint = (6 - 4) ÷ 2

⇒ Midpoint = 2 ÷ 2

⇒ Midpoint = 1

Applying Midpoint formula for Y axis,

Midpoint = (y₁ + y₂) ÷ 2

⇒ Midpoint = (5 + 3) ÷ 2

⇒ Midpoint = 8 ÷ 2

⇒ Midpoint = 4

∴ Midpoint of given points = (1, 4)

∴ Point on Y axis = 4