Coordinate Geometry Exemplar — Class 10 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 10 Mathematics chapter "Coordinate Geometry Exemplar" — 5 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 10 Mathematics chapter "Coordinate Geometry Exemplar" — 5 important questions with detailed answers for CB…
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NCERT Solutions for Class 10 Mathematics — Coordinate Geometry Exemplar. Step-by-step answers to all 5 textbook questions from this chapter, written for CBSE board preparation and free to use.
Coordinate Geometry Exemplar — All 5 Questions Solved
Q1. Find distance between points (3, 4) and (-1, 2).
Distance = √[(3 - (-1))^2 + (4 - 2)^2] = √[16 + 4] = √20 = 2√5.
Q2. Find the midpoint of line segment joining (5, -3) and (3, 7).
Midpoint = [(5 + 3)/2, (-3 + 7)/2] = (4, 2).
Q3. Find slope of line joining (2, 5) and (4, 9).
Slope m = (9 - 5)/(4 - 2) = 4/2 = 2.
Q4. Find equation of line with slope 3 passing through (1, 2).
Using point-slope form: y - y1 = m(x - x1). So y - 2 = 3(x - 1). Simplifying: y = 3x - 1.
Q5. If vertices of triangle are (0, 0), (4, 0), (0, 3), find area.
Using formula: Area = (1/2)|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)| = (1/2)|0(0 - 3) + 4(3 - 0) + 0(0 - 0)| = (1/2)|12| = 6 sq units.
How to Use These Solutions
Attempt each question yourself first and only then compare with the worked answer. Marks in the CBSE board exam are awarded for the METHOD as much as the final result, so reproduce the steps rather than memorising the last line. Where a solution states a law, a formula or a definition, learn that wording — examiners look for it.
Related practice for this chapter: chapter MCQs, previous-year questions, revision notes and sample papers.