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In Each of the Following Find the Value of 'K', for Which the Points Are Collinear. (7, -2), (5, 1), (3, -k) - CBSE Class 10 - Mathematics

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Question

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

(7, -2), (5, 1), (3, -k

Solution

For collinear points, area of triangle formed by them is zero.

Therefore, for points (7, -2) (5, 1), and (3, k), area = 0

`1/2 [7 { 1- k} + 5(k-(-2)) + 3{(-2) + 1}] = 0`

7 - 7k + 5k +10 -9 = 0

-2k + 8 = 0

k = 4

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 7: Coordinate Geometry
Ex. 7.30 | Q: 2.1 | Page no. 170

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Solution In Each of the Following Find the Value of 'K', for Which the Points Are Collinear. (7, -2), (5, 1), (3, -k) Concept: Area of a Triangle.
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