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5. Coordinate geometry
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Q4 of 112 Page 150

In each of the following, find the value of k for which the given points are collinear.

(2, – 5), (3, – 4) and (9, k)

(2, –5), (3, 4) and (9, k)


Area of triangle =


x1 = 2, x2 = 3 and x3 = 9


y1 = –5, y2 = –4 and y3 = k


if points are collinear then, area of triangles are collinear.


⇒


⇒


⇒


⇒


⇒ k – 2 = 0


⇒ k = 2


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3

Determine if the following set of points are collinear or not.

, (6, –2) and (–3, 4)

4

In each of the following, find the value of k for which the given points are collinear.

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4

In each of the following, find the value of k for which the given points are collinear.

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5

Find the area of the quadrilateral whose vertices are

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Questions · 112
5. Coordinate geometry
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