A line intersects the Y - axis and X - axis at the points P and Q, respectively. If (2, - 5) is the mid - point of PQ, then the coordinates of P and Q are, respectively

Question

Philoid · Accepted Answer

Let the coordinates of P (0, y) and Q (x, 0).

So, the mid - point of P (0, y) and Q (x, 0) = M

Coordinates of M =

_∵ Mid - point of a line segment having points (x₁, y₁) and (x₂, y₂)

=

Given,

Mid - point of PQ is (2, - 5)

= 4 = x + 0

x = 4

= - 10 = y + 0

– 10 = y

So,

x = 4 and

y = - 10

Thus, the coordinates of P and Q are (0, - 10) and (4, 0)