Question

In what ratio does the point (1/2,6) divide the line segment joining the points (3,5)and (-7,9)

Answer 1

Hey mate!!!!!

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» Let's (1/2 , 6) = P

» let the ratio be = K : 1

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» Co-Ordination of P :-

=> (3-7k)/(K+1) and (5-9k)/(k+1)

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» But P = (1/2 , 6)

» then

=> (3-7k)/(k+1) = 1/2

=> 6 - 14k = k+1

=> 15k = 5

=> K = 5/15

=> K = 1/3

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» Hence the ratio is "1:3"

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Answer 2

Answer:» Let's (1/2 , 6) = P

» let the ratio be = K : 1

_________________

» Co-Ordination of P :-

=> (3-7k)/(K+1) and (5-9k)/(k+1)

________________

» But P = (1/2 , 6)

» then

=> (3-7k)/(k+1) = 1/2

=> 6 - 14k = k+1

=> 15k = 5

=> K = 5/15

=> K = 1/3

__________

» Hence the ratio is "1:3"

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