Maharashtra State BoardHSC Commerce 11th
Advertisement Remove all ads

Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear. - Mathematics and Statistics

Sum

Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear.

Advertisement Remove all ads

Solution

The points A(1, 3), B(4, 1) and C(3, k) are collinear.
∴ Slope of AB = Slope of BC

∴ `(1 - 3)/(4 - 1) = ("k" - 1)/(3 - 4)`

∴ `(-2)/3 = ("k" - 1)/(-1)`

∴ 2 = 3k – 3

∴ k = `5/3`.

Concept: Line
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 3. (b) | Page 79
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×