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CBSE Class 10 Mathematics Question 22 of 32

Coordinate Geometry — Question Ex 7.3 Q2

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Ex 7.3 Q2
Question

In each of the following find the value of ‘k’ for which the points are collinear.
(i) (7, -2), (5, 1), (3, k)
(ii) (8, 1), (k, -4), (2, -5)

Answer

Ex 7.3 Class 10 Coordinate Geometry NCERT Solutions PDF Download Q2

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CBSE Class 10 Coordinate Geometry — Complete Guide

Coordinate Geometry is a formula-based scoring chapter worth 6 marks. All questions are direct formula applications.

Quick Revision: Key Formulae

  • Distance: d = √[(x2−x1)² + (y2−y1)²]
  • Section: P = [(mx2+nx1)/(m+n), (my2+ny1)/(m+n)]
  • Midpoint: M = [(x1+x2)/2, (y1+y2)/2]
  • Area: ½|x1(y2−y3) + x2(y3−y1) + x3(y1−y2)|
  • Collinear: Area = 0

Most Important Questions

  1. Find distance between two points
  2. Find ratio in which a point divides a line segment
  3. Find area of triangle given vertices
  4. Prove collinearity using area formula

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