Question

A point P divides the join of A(5 -2) and B(9 6) are in the ratio 3:1. The coordinates of P are (a) (4 7) (b) (8 4) (c) ((11)/(2) 5) (d) (12 8)​

Answer 1

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• Solution is Option (B) (8,4)

• m = 3 n = 1
• m+n = 4
• For x co-ordinate of P
• mx2+nx1/m+n
• 3(9)+5/4
• 32/4
• = 8

• From Given options only One option has x co-ordinate 8 So option is B

Answer 2

Step-by-step explanation:

By taking

$\frac{m1}{m2} = \frac{x - x1}{x2 - x} \: or \: \frac{y - y1}{y2 - y}$

(I). x1=5 X2=9

3/1=x-5/9-x

3×(9-x=x-5

27-3x=x-5

27+5=x+3x.

32/4=x

8=x.

We can onbserve that x=8 in only (b).option.

So, (b) is the coordinates of that point.