Question

for what value of x are the point a(-3,12) b(7,6) and c (x,9) are co linear​

Answer 1

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Therefore, The value of x=2.

Answer 2

$\bf\underline{\underline{\purple{SOLUTION:-}}}$

Question

• For what value of x are the point a(-3,12) b(7,6) and c (x,9) are co linear?

Answer

• Value of x =2

Given

• A(-3,12)
• B(7,6)
• C(x,9)

To Calculate

• Value of x

Step by Step Explanation

• A(-3,12) = x1 ,y1
• B(7,6) = x2, y2
• C(x,9) = x3, y3

Using formula

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

putting values,

⇢ -3(6-9)+7(9-12)+x(12-6)=0

⇢ -3×(-3)+7×(-3)+6x=0

⇢ 9-21+6x =0

⇢ -12+6x=0

⇢6x=12

⇢ x= 12/6

${\boxed{\red{\tt{x= 2}}}}$

$\bf\underline{\underline{\purple{HENCE:-}}}$

• Value of x =2

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$\bf\underline{\underline{\green{Additional\: Information:-}}}$

Area of triangle ABC with vertices A(x1,y1) , B(x2,y2) , C(x3,y3) is Given by

${\boxed{\red{\tt{Ar ( Tri.ABC ) = 1/2|[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]| }}}}$

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