Question

A line AB intersects the axes at (m, 0) and (0, n) respectively. If P is the midpoint of AB, then find
the Coordinates of P.

Answer 1

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GIVEN

A line AB intersects the axes at (m, 0) and (0, n) respectively. If P is the midpoint of AB

TO DETERMINE

The Coordinates of P

FORMULA TO BE IMPLEMENTED

The midpoint of the line joining the two ( a, b) & (c, d) is

$\displaystyle \sf{ = \bigg( \frac{a + c}{2} , \frac{b + d}{2} \bigg)}$

CALCULATION

Here the line AB intersects the axes at (m, 0) and (0, n)

Now P is the midpoint of AB

Therefore the coordinate of P is

$\displaystyle \sf{ = \bigg( \frac{m+ 0}{2} , \frac{0 + n}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \frac{m}{2} , \frac{ n}{2} \bigg)}$

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