Question

If the point P (k,0) divides the line segment joining the point A(2,-2) and B(-7,4) in the ratio 1:2 then the value of k is

Answer 1

When a point P(x,y) divides(internally) the line segment joining the

Points A(x 1 ,y  1 ) and B(x  2,y  2 ) in the ratio m:n then

x= mx2+nx1/m+n          &         y= my2+ny1/m+n

Using section formula

k=     [ 2*2-1*7]/[1+2]   =  4-7/3

=  -3/3  =  -1

K= -1