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  • Find the point that divides PQ  where P(2, 5) and Q(-7, 4) ] in the ratio 1 : 2 externally</sp

Find the point that divides PQ  where P(2, 5) and Q(-7, 4) ] in the ratio 1 : 2 externally

Option: 1

(-11,6)


Option: 2

(11,6)
 


Option: 3

(11,-6)

 


Option: 4

 (-11,-6)


Answers (1)

best_answer

Let S be the point which divides PQ externally in the ratio 1 : 2. Then the coordinates of S are

x= \frac{1\times (-7)-2\times 2}{1-2}=\frac{-11}{-1}= 11

y= \frac{1\times 4 -2\times 5}{1-2}=\frac{-6}{-1}= 6

i.e. the required point is (11, 6)

Posted by

Rakesh

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