Question

5. Find the coordinates of the point which divides internally the join of the points
(a) (8,9) and (-7, 4) in the ratio 2:3
by using section formula​

Answer 1

ANSWER

The coordinates of the point which divides internally is

$\boxed{\textbf{\large{(2,7)}}}$

EXPLANATIONS :

We know,

☑ If the point devides internally, the join of the points in the ratio m:n

then, by section formula for internal division is

$\boxed{\texbf{\large{[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}}}$

☑ let us consider,

point (8,9)=(x1,y1)

point (-7,4)=(x2,y2)

And the ratio of m : n is

m:n = 2:3

☑ Therefore,

={[(2(-7)+3(8))/(2+3)],[(2(4)+3(9))/(2+3)]}

={[(-14)+(24)]/5], [ (8+27)/5]}

=[(10/5),(35/5)]

=(2,7)

The coordinates of the point which divides internally is

$\boxed{\textbf{\large{(2,7)}}}$