Question

The point (-8, 10) divides the line joining the points
(4, -2) and (-2, 4) in the ratio
(1) 1 : 2 internally
(2) 1 : 2 externally
(3) 2 : 1 internally
(4) 2: 1 externally​

Answer 1

Option 4 is the correct answer.

Answer 2

Answer:

2) 1 : 2 externally..

Step-by-step explanation:

given (-8 10)

, (4 - 2) = x1,y1

(- 2 ,4) = x2,y2

which is divided in ratio k:1

where m1 = k,m2 = 1

P={[(m1x2+m2x1)/(m1+m2) [(m1y2+m2y1)/(m1+m2)

= (k × -2 + 1 × 4) / ( k+1) , (k × -2 + 1× -2) / (k +1)

P ( x,y) = (-2k + 4/k+1), (-2k + -2/k + 1)

P(-8,10) = (-2k + 4/k+1), (-2k + -2/k + 1)

-8 = -2k + 4/k+1

8 = -2(k -2)/k +1.

= -4 (k-1) = k-2

= -4k +4 = k -2

= 6 = 5k

= k = 6/5

10 = -2×1 + -2/×1 + 1

10 = -2 + -2/2 = -4/2 = -1/2

P(x,y)