Question

Find the relation between x and y if the
points A(x, y), B(-5, 7) and C(-4, 5) are
coilinear.​

Answer 1

SOLUTION:-

$\bf\underline{\underline{\red{Question:-}}}$

⠀⠀⠀⠀⠀• Find the relation between x and y if the

⠀⠀⠀⠀⠀points A(x, y), B(-5, 7) and C(-4, 5) are

⠀⠀⠀⠀⠀coilinear

$\bf\underline{\underline{\blue{Answer:-}}}$

⠀⠀⠀⠀⠀• x+y= 2x+y+3

$\bf\underline{\underline{\red{Given:-}}}$

⠀⠀⠀⠀⠀• A(x,y)

⠀⠀⠀⠀⠀• B(-5,7)

⠀⠀⠀⠀⠀• C(-4,5)

$\bf\underline{\underline{\blue{To\:Calculate:-}}}$

⠀⠀⠀⠀⠀• Relation between x and y

$\bf\underline{\underline{\red{Explanation:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀When Three are Coilinear

⠀⠀⠀$\boxed{x1(y2-y3)+x2(y3-y1)+x3(y1-y2)}$

⠀⠀⠀⠀⠀• A(x,y) = (x1,y1)

⠀⠀⠀⠀⠀• B(-5,7) = (x2-y2)

⠀⠀⠀⠀⠀• C(-4,5) = (x3-y3)

putting values,

➺ x(7-5)+(-5)(5-y)+4(-4)(y-7)

➺ 7x-5x-5×(5-y)-4(y-7)

➺ 7x-5x-25+5y-4y+28

➺ 2x+y+3

$\bf\underline{\underline{\red{Hence:-}}}$

⠀⠀⠀⠀⠀• x+y = 2x+y+3

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