CBSE Class 10 Mathematics Question 23 of 32

Coordinate Geometry — Question Ex 7.3 Q3

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Ex 7.3 Q3
Question

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

Answer

exercise 7.3 Maths Class 10 NCERT Solutions PDF Download Q3
exercise 7.3 Maths Class 10 Coordinate Geometry NCERT Solutions PDF Download Q3.1

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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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