Question

Find the ratio in which the line segment joining A (1, -5) and B(-4 , 5) is
divided by the x-axis

Answer 1

Answer:

ratio = 1:1

Step-by-step explanation:

let point p divide A and B in ratio M1:M2

p is a point on X axis so coordinate of p are (X,0)

let A(1,-5) be (x1,y1) and B(-4,5) be (x2,y2)

using section formula

M1x2 + M2x1/M1 + M2 , M1y2 + M2y1/M1 + M2

M1(-4) + M2(1) / M1 + M2 = X( 1 equation)

M1(5) + M2(-5)/ M1 + M2 = 0(2 equation)

solving second equation

5M1 -5M2/ M1+M2 = 0

5M1 - 5M2 = 0 × ( M1+M2)

5M1-5M2 = 0

5M1 = 5 M2

M1/M2 = 5/5

M1/M2 = 1/1

so,

M1:M2 = 1:1