Question

db) Find the ratio in which point P (6, 7) divides the segment joining A(8.9) and B(1.2) by completing
the following activity.​

Answer 1

Step-by-step explanation:

The points are 4,6 and -7,-1

then by using section formula =[ m1*x2 + m2*x1]/[m1 +m2]

,[ m1*y2 +m2*y1]/[m1+m2].

then take m1 as k and m2 as 1 that make ratio of k:1

then, by using section formula=

[k*-7+1*4/k+1] ,[k*-1+1*6/k+1]

[-7k+4/k+1] ,[ -k +6/k+1]

then, on x axis y is 0

then,[ -k+6/k+1] =0

then, take k+1 on right side

= -k+6 = 0*k+1

= -k +6 = 0

then take 6 on right side

= -k = -6

then both negative sign are cancelled

= k = 6

then the ratio is k:1 = 6:1