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Question -

Find the value of ╬╗ so that the points (1, -5), (-4, 5) and (╬╗, 7) arecollinear.



Answer -

Given (1, -5), (-4, 5)and (╬╗, 7) are collinear

We have the conditionthat three points to be collinear, the area of the triangle formed by thesepoints will be zero. Now, we know that, vertices of a triangle are (x1,y1), (x2, y2) and (x3, y3),then the area of the triangle is given by,

тЗТ тАУ 50 тАУ 10╬╗ = 0

тЗТ ╬╗ = тАУ 5

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