CBSE Class 10CBSE
Share
Notifications

View all notifications

In Each of the Following Find the Value of 'K', for Which the Points Are Collinear. (8, 1), (K, -4), (2, -5) - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

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

(8, 1), (k, -4), (2, -5)

Solution

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

Therefore, for points (8, 1), (k, - 4), and (2, - 5), area = 0

`1/2 [8 { -4- (-5)} + k{(-5)-(1)} + 2{1 -(-4)}] = 0`

8 - 6k + 10 = 0

6k = 18

k = 3

  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: 2.2 | Page no. 170

Video TutorialsVIEW ALL [1]

Solution In Each of the Following Find the Value of 'K', for Which the Points Are Collinear. (8, 1), (K, -4), (2, -5) Concept: Area of a Triangle.
S
View in app×