Math, asked by rutujas2810, 6 months ago

show that the points
are collinear
(-4,5),(1,-5), (-5,7)
from class 11th chapter 5th straight line
please don't give any spam answer​

Answers

Answered by mysticd
1

 Let \: the \: three \: points \: A(x_{1},y_{1}) = (-4,5) ,\\B(x_{2},y_{2}) = (1,-5) ,\\and \: C(x_{3},y_{3}) = (-5,7)

/ * We know that*/

 \pink{Area \: of \: \triangle ABC }\\

\boxed{\blue{= \frac{1}{2}|x_{1}(y_{2}-y_{3}) + x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})| }}

 =\frac{1}{2} |(-4)(-5-7)+1(7-5)+(-5)[5-(-5)|

 = \frac{1}{2} |(-4)(-12)+2+(-5)\times 10|

 = \frac{1}{2} |48+2-50|

 = \frac{1}{2}| 50 - 50

  = 0

 \green {\therefore Area \:of \: the \: triangle = 0 }

\orange {Given \: three \: points \: are \: collinear.}

•••♪

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