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What is the value of y if (y, 3), (-5, 6) and (-8, 8) are coll

Question

What is the value of y if $(y, 3), (- 5, 6)$ and $(- 8, 8)$ are collinear?

- 1

2

\frac{1}{2}

- \frac{1}{2}

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Charlotte Discussed

What is the value of y if

(y, 3), (- 5, 6)

and

(- 8, 8)

are collinear?

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Let A(y,3),B(-5,6) and C(-8,8) be the given points

Condition for collinear equation-

x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2}) = 0

where

x_{1} = y, x_{2} = 3

x_{2} = - 5, y_{2} = 6

x_{3} = - 8, y_{3} = 8

\Rightarrow y (6 - 8) + - 5 (8 - 3) + - 8 (3 - 6) = 0

\Rightarrow 6 y - 8 y - 40 + 15 - 24 + 48 = 0

\Rightarrow - 2 y - 1 = 0

\Rightarrow - 2 y = 1

\Rightarrow y = - \frac{1}{2}

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Question Text	What is the value of y if $(y, 3), (- 5, 6)$ and $(- 8, 8)$ are collinear?
Answer Type	Text solution:1
Upvotes	150