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Coordinate Geometry — Question Ex 7.2 Q3

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Ex 7.2 Q3
Question

To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in given
figure below. Niharika runs \(\frac { 1 }{ 4 }\) th the distance AD on the 2nd line and posts a green flag. Preet runs \(\frac { 1 }{ 5 }\) th distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2 Q3

Answer

Coordinate Geometry Class 10 Maths NCERT Solutions Ex 7.2 Q3
The blue flag is in the 5th line, at a distance of 22.5 m.

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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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