Question

Find the ratio in which the line segment joining the point P(3,-6) and Q(5,3) is divided by X axis
​

Answer 1

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x1,y1) and (x2,y2) in the ratio m:n, then 

(x,y)=(m+nmx2+nx1,m+nmy2+ny1)

Letp(3,−6),Q(5,3)isdividedbyy−axisin(λ:1)internallyThen,fromsectionformulapointofdivisionisc(x,y)x=(λ+1)(5λ+3×1)→(i)y=(λ+1)(3×λ−6×1)→(ii)bysolvingequation(i)⇒λ+15λ+3=0