If the points (2, 1) and (1,-2) are equidistant from the point (x, y), show that x + 3y = 0.
OR

If R (5, 6) is the midpoint of the line segment joining the points A (6, 5) and B (4, y) then find the value of ‘y’.

Question

Philoid · Accepted Answer

Distance from point (2, 1) = Distance from point (1, -2)

Square roots are cancelled, therefore

OR

Coordinates of midpoint of line joining (x₁, y₁) and (x₂, y₂) are

⇒ midpoints =

⇒ midpoints of line segment joining A and B =

To find the value of y, we only need y coordinate of midpoint.

⇒

Hence, the value of y is 7.

If the points (2, 1) and (1,-2) are equidistant from the point (x, y), show that x + 3y = 0.ORIf R (5, 6) is the midpoint of the line segment joining the points A (6, 5) and B (4, y) then find the value of ‘y’.