Question

If A(1,2) and B(3,-2) are given points, then ...... is the mid-point of AB.select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) P(2, 1)
(b) P(-1,0)
(c) P(2, 0)
(d) P(0, 0)

Answer 1

In the attachment I have answered this problem.

Correct option is (2,0)

I have applied midpoint formula to find the midpoint

See the attachment for detailed solution

Answer 2

Given coordinates are A(1,2) and B(3,-2).

Midpoint-formula:

$= > \frac{x1 + x2}{2}, \frac{y1 + y2}{2}$

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Now,

$= > \frac{1 + 3}{2}, \frac{2 - 2}{2}$

$= > (\frac{4}{2}, \frac{0}{2})$

$= > (2,0)$

Therefore, the coordinates of P are (2,0).

Hope this helps!