OR
Find the ratio in which the point (-3,p) divides the line segment joining the
points (-5,-4) and (-2,3). Hence , find

1 thought on “OR<br />Find the ratio in which the point (-3,p) divides the line segment joining the<br />points (-5,-4) and (-2,3). Hence , find”

1. Answer:

   (x1,y1)=(-5,-4), (x2,y2) = (-2,3)

   (-3,p) is the point which divides joining the above points in the ratio k:1

   by using section formula

   [(k*(-2)+1*5)/(k+1) , (k*3+1*(-4))/(k+1)] = (-3,p)

   equating x co ordinates

   (-2k+5)/(k+1) = -3

   -2k+5 = -3(k+1)

   -2k+5 = -3k-3

   -2k+3k=-3-5

   k= -8—(1)

   equating y co ordinates

   (3k-4)/(k+1) = p

   substitute k = -8

   [3*(-8) -4]/(-8+1) = p

   (-24-4)/-7 = p

   -28/-7 =p

   4=p

   p=4

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