Question

Find the coordinates of the point which divides the line segment joining the points (3,8) and (5,11) internally and externally in ratio 3:4

Answer 1

Answer:

internally (27/7, 65/7) and externally (-3/4, -1/4)

Step-by-step explanation:

let points of the line are A(3,8),B(5,11) and the ratio in which line divides is 3:4

let the point which divide the line are (x,y)

Internally,

so, [3(5)+4(3)]/(3+4) = x

(15+12)/7 = x

27/7 = x

and [3(11) +4(8)]/(3+4) = y

(33+32)/7 = y

65/7 = y

so, the point is (27/7, 65/7) .... ans.

Externally,

[3(5) -4(3)]/(3-7) = x

(15-12)/(-4) = x

-3/4 = x

and [3(11) -4(8)]/(3-7) = y

(33-32)/(-4) = y

-1/4 = y

so, the point is (-3/4, -1/4) .... ans.