Question

9.बिन्दु (0,2) का बिन्दुओं (4,10) और (2,2) को मिलाने वाले रेखाखंड के मध्यबिंदु दूरी ज्ञात कीजिए।​

Answer 1

Answer:

d = √17

Step-by-step explanation:

Formula of midpoint is

[($x_{1}$ + $x_{2}$) / 2, ($y_{1}$ + $y_{2}$) / 2]

d = √[($x_{2}$ - $x_{1}$) + ($y_{2}$ - $y_{1}$)]

~~~~~~~~~~~~~~

Let A(0, 2), B(4, 10) and C(2, 2)

Let P be a midpoint of AB, and Q be midpoint of AC, then

P( $\frac{0+4}{2}$ , $\frac{2+10}{2}$ ) = P(2, 6)

Q( $\frac{0+2}{2}$ , $\frac{2+2}{2}$ ) = Q(1, 2)

d = PQ = $\sqrt{(1-2)^2+(2-6)^2}$ = √17