A point P divides the line segment joining the points A(2,-3) and B(-5,6) in a particular ratio. If P lies on the line x+y=0, then find the ratio in which it divides the line segment? 

Dear student
It is given that P divides the line segment joining A2,-3 and B-5,6 in the ratio k:1.So, coordinates of P are -5k+2k+1,6k-3k+1P-5k+2k+1,6k-3k+1 lies on the line x+y=0So, -5k+2k+1+6k-3k+1=0-5k+2+6k-3=0k-1=0k=1So, required ratio is 1:1
Regards

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Not really sure about this but I hope it's correct

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Answers are givenbelow by me

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Let the ratio be k:1

{mx2 + nx ​1 / m + n , my2 + ny1 / m + n }
{-5k +2 / k +1 , 6k - 3 / k + 1 }
It is given x + y = 0

-5k + 2/ k+1  +  6k - 3 / k + 1 = 0

k - 1 / k + 1 = 0

 k = 1
therefore  the ratio is 1:1
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It is not x+y=0 it is xy=0
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Who has given my answer wrong
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What are you looking for?