Question

P
R
R is Midpoint of P and Q . p(0,0) Q(8,8) then find Co Ordinate point of R​

Answer 1

Given :-

• R is the mid point of P, Q

Co- ordiantes of P = (0,0) Q = (8,8)

To find :-

Co-ordinates of midpoint i.e co-ordinates of R

Formula to know :-

${Mid \: point} = \dfrac{x_1 + x_2}{2} , \dfrac{y_1 +y_2}{2}$

Solution :-

P = (0,0) Q =(8,8)

${x_1 = 0}$

${y_1 = 0}$

${x_2 = 8}$

${y_2 = 8}$

${R} = \dfrac{x_1 + x_2}{2} , \dfrac{y_1 +y_2}{2}$

${R} = \dfrac{0+8}{2} , \dfrac{0+ 8}{2}$

${R} = \dfrac{8}{2} , \dfrac {8}{2}$

${(R=4,4)}$

So, the co-ordinates of midpoint R = (4,4)

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#Know more :-

Distance formula:-

$\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Centroid formula:-

$\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}$

Section formula Internal division:-

$\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}$

Section formula External division:-

$\dfrac{mx_2-nx_1}{m-n}, \dfrac{my_2-ny_1}{m-n}$