Math, asked by bamosi6837, 4 months ago

Find the ratio in which line segment joining the points ( -3 .10) and ( 6, -8) is divided
by ( -1 , 6)

Answers

Answered by REDPLANET
72

\underline{\boxed{\bold{Question}}}

  • Find the ratio in which line segment joining the points A (-3,10) and B (6, -8) is divided  by C (-1 , 6).

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\underline{\boxed{\bold{To \;find}}}

  • Ratio in which line segment AB is divided by point C.
  • In short we have to find λ : 1

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\underline{\boxed{\bold{Answer}}}

Let's Start !

A = (-3 , 10)

B = (6 , -8)

C = (-1 , 6)

So let the Ratio of AC : BC = λ : 1

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So by section formula,

\implies -1 = \frac{6\lambda -3}{\lambda + 1} \\\\\implies \lambda + 1 \implies 3 - 6\lambda \\\\\implies 7\lambda = 3-1\\\\\implies 7\lambda = 2\\\\\implies \lambda = \frac{2}{7} \\\\\implies \lambda :1 = 2 : 7

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\boxed{ \boxed{\bold{So \;the\; Ratio\; of\; AC : BC = \lambda : 1 = 2:7}}}

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Hope this helps u.../

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