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Find the coordinates of the point which divides the line ...

Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 9) internally in the ratio 2 : 3.

A.

(523,25)

B.

(25,525)

C.

(25,225)

D.

(25,525)

Correct answer is B

(x=nx1+mx2n+m,y=ny1+my2n+m)

Given P(-2, 3) and Q(4, 9),

(2(4)+3(2)2+3,2(9)+3(3)2+3)

= (25,275)

= (25,525)