Question

The line segment joining points (-3, -4) and (1, -2) is divided by y-axis in the ratioRequired to answer. Single choice.​

Answer 1

3 : 1

_____

Using the section formula, if a

Point ( X,Y ) divides the line joining the points ( X1,Y1 ) and ( X2,Y2 ) in the ration m : n then,

$(x.y) = ( \frac{mx2 + nx1}{m + n} . \frac{my2 + my1}{m + n} )$

Substituting ( X1,Y1 ) = ( -3,-4 ) and ( X2,Y2 ) = ( 1,-2 ) in the section formula, we get the point

$( \frac{m(1) + n( - 3)}{m + n}. \frac{m( - 2) + n( - 4)}{m + n}) = ( \frac{m - 3n}{m + n} . \frac{ - 2m - 4n}{m + n} )$

As the point lies on Y - axis, X - coordinate = 0

= > m = 3n or m : n = 3 : 1 Answer ✔️