find the coordinates of the points which divides line seg QR in the ratio 1:2 where Q (1,1) and R (1,-2) About the author Genesis
Step-by-step explanation: Let us consider that point P is the point which divides line seg QR in the ratio 1:2. Suppose the co-ordinates of point P (x,y). Q(1,1) = x¹ = 1 and y¹ = 1 R(1,-2) = x² = 1 and y² = -2 P(x,y) = x = x and y = y m = 1 and n = 2 By using section formula [tex]x \: = \frac{mx {}^{2} + nx {}^{1} }{m + n} \\ \\ x = \frac{1(1) + 2(1)}{1 + 2 } \\ \\ x = \frac{1 + 2}{3} \\ \\ x = \frac{3}{3} \\ \\ x = 1 \\ \\ \\ y = \frac{my {}^{2} + ny {}^{1} }{m + n} \\ \\ y = \frac{1( – 2) + 2(1)}{1 + 2 } \\ \\ y = \frac{ – 2 + 2}{3} \\ \\ y = \frac{0}{3} \\ \\ y = 0[/tex] The co-ordinates of point P is (1,0) Reply
Step-by-step explanation:
Let us consider that point P is the point which divides line seg QR in the ratio 1:2.
Suppose the co-ordinates of point P (x,y).
Q(1,1) = x¹ = 1 and y¹ = 1
R(1,-2) = x² = 1 and y² = -2
P(x,y) = x = x and y = y
m = 1 and n = 2
By using section formula
[tex]x \: = \frac{mx {}^{2} + nx {}^{1} }{m + n} \\ \\ x = \frac{1(1) + 2(1)}{1 + 2 } \\ \\ x = \frac{1 + 2}{3} \\ \\ x = \frac{3}{3} \\ \\ x = 1 \\ \\ \\ y = \frac{my {}^{2} + ny {}^{1} }{m + n} \\ \\ y = \frac{1( – 2) + 2(1)}{1 + 2 } \\ \\ y = \frac{ – 2 + 2}{3} \\ \\ y = \frac{0}{3} \\ \\ y = 0[/tex]
The co-ordinates of point P is (1,0)