Question

if the point R (22,23) divides the join of p (7,5) and Q externally in the ratio 3:5 then Q is

Answer 1

using External section formula
$let \: coordinates \: of \: q \: be \:$
(x,y)
thus
$7 = \frac{3x - 110}{ - 2} \\ 5 = \frac{7y - 115}{ - 2} \\ thus \: x = (- 14 + 110) \div 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{86}{3 } \\ y = 15$
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