Question

. Find coordinates of mid point of two given points P(–1,4) and Q (5,–2). बिंदुओं P(–1,4) and Q (5,–2) के मध्य बिंदु के निर्देशांक ज्ञात करो।​

Answer 1

Answer:

Easy!

Let the points P(–1,4) = x₁y₁ ; Q(5,–2) = x₂y₂. So,

x₁= -1, x₂=5, y₁=4, y₂= -2.

Use the midpoint formula, i.e.,

$(x_{m} y_{m})=(\frac{x_{1}+x_{2} }{2} ; \frac{y_{1}+y_{2}}{2})$;

Substitute the values -

$(x_{m} y_{m})=(\frac{-1+5 }{2} ; \frac{4+(-2)}{2})$

$(x_{m} y_{m})=(\frac{4 }{2} ; \frac{2}{2})$

$(x_{m} y_{m})=(2,1)$

Let us graph the line (NOT COMPULSORY)

I used GeoGebra graphing calculator to graph the line and fins the midpoint. You can clearly see that C(2,1) is the midpoint.

HOPE THIS HELPS :D