Question

E
-
P
Find the ratio in which point P(k, 7) divides the segment joining A(8,9) and
B(1, 2). Also find k.
of midoint of tha
:​

Answer 1

Answer:

Ratio= 2:5 & k=6

Step-by-step explanation:

(1) By section formula,

y=(my2+ny1)/m+n

=>  7=(2m+9n)/m+n

=>  7(m+n)=2m+9n

=>  7m+7n=2m+9n

=>  7m-2m=9n-7n

=>  5m=2n

=>  m/n=2/5

=>  m:n=2:5

(2)

By section formula,

x=(mx2+nx1)/m+n

=>  k = (2*1 +5*8)/(2+5)

=>  k = (2+40)/7

=>  k = 42/7

=> k  = 6