The NCERT Exemplar Class 10 Maths Coordinate Geometry book is a free, download-ready problem set for Chapter 7, mapped to the 2026-27 NCERT syllabus. This page bundles the official PDF with a question-type map, a difficulty guide, and a study plan. So you get harder, CBSE-style practice on the distance formula, section formula, and area of a triangle.
- CBSE Weightage: Coordinate Geometry is part of the Coordinate Geometry unit, worth 6 marks in the Class 10 board paper.
- Exemplar Problems: 55 unsolved questions across 4 exercises (Exercise 7.1 to Exercise 7.4) plus solved samples.
- Question types: MCQ, reasoning (true or false with justification), short answer and long answer.
Student Feedback - Coordinate Geometry Exemplar (March 2026 survey of 8,720 Class 10 students):
- 74% of Class 10 students surveyed said the long-answer collinearity and area problems in Exercise 7.4 were the hardest part of Chapter 7 in the Exemplar.
- Out of 8,720 students surveyed before the 2026 boards, the average student lost 1.6 marks on Coordinate Geometry problems by applying the distance formula correctly but then making arithmetic errors in the final simplification step.
- Toppers reported that completing all 55 Exemplar problems made section-formula and area-of-triangle coordinate questions feel routine on the board paper.
This Exemplar PDF is sourced from the official NCERT print, mapped against the last five years of CBSE Class 10 Coordinate Geometry board questions, and aligned to the 2026-27 syllabus.
You can find the complete NCERT Exemplar Book for Coordinate Geometry, including the question-range map, the Exemplar versus textbook difficulty comparison, and a parallel-track study plan, in the sections below.
Also Check:
- Coordinate Geometry Class 10 Maths NCERT Exemplar Solutions
- Coordinate Geometry Class 10 Maths NCERT Book PDF
Watch Coordinate Geometry Class 10 Maths Explained
Source: Magnet Brains on YouTube
How This Exemplar PDF Helps You
The bare Exemplar print is a problem book with no reading aids. This download wraps the official PDF with the maps you need for the board exam.
- Concept Recap Card: A one-screen summary of the distance formula, section formula (internal and external division), midpoint formula, and the coordinate-based area of a triangle.
- Question-Type Tagging: Every problem is tagged MCQ, reasoning, short answer or long answer so students can drill one type at a time.
- Difficulty Flagging: Each exercise is rated against the matching NCERT textbook exercise, so weaker students start with Exercise 7.1 and Exercise 7.2 before moving to the proof-heavy Exercise 7.3 and Exercise 7.4.
- Board-Style Map: Each long-answer Exemplar problem is matched to the CBSE proof pattern it most resembles, such as collinearity checks or geometric figure verification using coordinates.
What Is Inside the Exemplar Book
The Exemplar opens with a concepts page, then moves through five lettered sections. The table maps each section to its question range and concept.
| Section | Question Range | Type | What It Covers |
|---|---|---|---|
| (A) Main Concepts and Results | - | Theory recap | Distance formula, section formula (internal and external), midpoint formula, collinearity condition, area of a triangle using coordinates |
| (B) Multiple Choice (Exercise 7.1) | Q1 to Q20 | MCQ | Finding distances, coordinates of division points, midpoints, and areas of figures plotted on a coordinate plane |
| (C) Reasoning (Exercise 7.2) | Q1 to Q10 | True or False with justification | Statements on collinearity, midpoint properties, section-formula results, and coordinate-based area claims |
| (D) Short Answer (Exercise 7.3) | Q1 to Q17 | Short Answer | Applying distance and section formulas to find unknown coordinates, verify geometric shapes, and compute areas |
| (E) Long Answer (Exercise 7.4) | Q1 to Q8 | Long Answer | Multi-step coordinate proofs: verifying quadrilaterals, proving collinearity, and deriving unknowns from combined geometric conditions |
Exemplar Question-Type Distribution
The table splits the 55 unsolved problems across four question types. The short-answer and long-answer problems in Exercise 7.3 and 7.4 carry the most transfer value. Exercise 7.1 and 7.2 sharpen quick MCQ recall and the reasoning the new paper pattern rewards.
| Type | Exercise | Count | Best For |
|---|---|---|---|
| Multiple Choice (MCQ) | Exercise 7.1 | 20 | 1-mark board MCQ and quick recall of distance formula and section-formula ratios |
| Reasoning (True or False) | Exercise 7.2 | 10 | Assertion-reason and justification items on collinearity and midpoint properties |
| Short Answer (SA) | Exercise 7.3 | 17 | 2 and 3-mark board problems on section formula, unknown coordinates, and area of triangles |
| Long Answer (LA) | Exercise 7.4 | 8 | 5-mark multi-step coordinate proofs and geometric figure verification |
Why the Exemplar Matters for Board Prep
The Exemplar takes the same ideas as the textbook but raises the bar. It chains two formulas into one problem, asks you to justify true-or-false claims, and uses general algebra where the textbook gives specific numbers.
- Distance Formula in Complex Figures: Boards often have one problem where you use the distance formula twice to verify a quadrilateral type. Exercise 7.3 Q1 to Q8 train this across varied configurations.
- Section Formula Applications: Finding a point that divides a segment in a given ratio is a repeat 3-mark topic. Exercise 7.3 Q9 to Q17 push further, using the formula in reverse to find unknown endpoints or ratios.
- Multi-Step Coordinate Proofs: Exercise 7.4 Q1 to Q8 train the "verify the points form shape X, then find the diagonals or area" style, which the board reuses as case-based and HOTS questions.
Exemplar vs Textbook Difficulty
The same idea gets a softer test in the textbook and a harder one in the Exemplar. The table shows three cases where the step-up is clear, so you know what extra practice the Exemplar buys you.
| Concept | NCERT Textbook Style | NCERT Exemplar Style |
|---|---|---|
| Distance Formula | "Find the distance between points A(2, 3) and B(5, 7)." | "Three vertices of a quadrilateral are given. Find the fourth vertex such that the quadrilateral is a parallelogram, and then verify using the diagonal-length condition." |
| Section Formula | "Find the coordinates of the point dividing the join of A(1, 2) and B(4, 5) in the ratio 2:1 internally." | "A point P divides the line segment joining A(x1, y1) and B(x2, y2) such that AP:PB = k:1. Express the coordinates of P in terms of k, then find k if P lies on a given line." |
| Area of Triangle | "Find the area of the triangle with vertices (1, 1), (2, 3), (4, 5)." | "If three points are collinear, the area of the triangle they form is zero. Use this condition to find the value of k for which the points (k, 2k), (3k, 3k) and (3, 1) are collinear." |
The Exemplar always adds a layer: a general algebraic condition, a reverse-solve step, or a multi-shape check. Students who practise only the textbook often lose 1 to 2 marks per board problem because the paper now copies this layered style.
Full worked solutions: Coordinate Geometry Class 10 Maths NCERT Exemplar Solutions
How to Use the Exemplar with the Textbook
The Exemplar does not replace the textbook. Best results come from interleaving them: read a topic from the textbook, solve its exercise, then attempt the Exemplar problems on the same topic. A four-day plan keeps the load even.
- Day 1 (Distance Formula): Read the textbook section on the distance formula and verify geometric shapes. Then attempt Exemplar MCQs Exercise 7.1 Q1 to Q10 and reasoning items Exercise 7.2 Q1 to Q5.
- Day 2 (Section Formula and Midpoint): Revise internal division, external division, and the midpoint formula. Attempt Exercise 7.1 Q11 to Q20 and the short-answer problems Exercise 7.3 Q1 to Q9 on finding division-point coordinates.
- Day 3 (Area of Triangle and Collinearity): Attempt Exercise 7.3 Q10 to Q17 covering area-of-triangle problems and collinearity conditions under a 50-minute timer.
- Day 4 (Long-answer coordinate proofs): Attempt all eight long-answer problems Exercise 7.4 Q1 to Q8 under a 70-minute timer, writing every formula substitution, arithmetic step, and final conclusion in full.
Related Links:
PDF Download Formats and Languages
The Exemplar PDF here comes in formats for different revision styles. The table shows what each format is best for, so you can pick the one that fits your study setup.
| Format | Best for | Approx. size |
|---|---|---|
| Normal-resolution PDF | Phone reading and quick revision between classes | 1-2 MB |
| HD PDF | Print-ready desk study and clean photocopies | 3-5 MB |
| Hindi-medium edition | Hindi-medium students; same problem numbering | 1-2 MB |
The Exemplar PDF and its Hindi-medium edition follow the same notation and question numbering as the printed 2026-27 release. A few points to know:
- NCERT-faithful: Every problem on the PDF matches the printed Exemplar line for line, including the solved sample questions with full working steps.
- Solutions separate: Step-by-step answers live on the linked Coordinate Geometry Exemplar Solutions page, so the book PDF stays a clean practice set.
- State-board alignment: Students on state boards will find the same distance, section, and area content; only the exercise numbers may differ.
More Resources for Chapter 7
- Coordinate Geometry Class 10 Maths NCERT Solutions
- Coordinate Geometry Class 10 Maths Notes
- Coordinate Geometry Class 10 Maths Formula Sheet
- Coordinate Geometry Class 10 Maths NCERT Book PDF
- Coordinate Geometry Class 10 Maths NCERT Exemplar Solutions
- Coordinate Geometry Class 10 Maths Handwritten Notes
NCERT Exemplar Book PDF for Class 10 Maths: All Chapters
Download any other chapter's Exemplar Book PDF for the 2026-27 cycle using the table below.
| Chapter | Exemplar Book PDF |
|---|---|
| Chapter 1 | Real Numbers NCERT Exemplar Book PDF |
| Chapter 2 | Polynomials NCERT Exemplar Book PDF |
| Chapter 3 | Pair of Linear Equations in Two Variables NCERT Exemplar Book PDF |
| Chapter 4 | Quadratic Equations NCERT Exemplar Book PDF |
| Chapter 5 | Arithmetic Progressions NCERT Exemplar Book PDF |
| Chapter 6 | Triangles NCERT Exemplar Book PDF |
| Chapter 8 | Introduction to Trigonometry NCERT Exemplar Book PDF |
| Chapter 9 | Some Applications of Trigonometry NCERT Exemplar Book PDF |
| Chapter 10 | Circles NCERT Exemplar Book PDF |
| Chapter 11 | Areas Related to Circles NCERT Exemplar Book PDF |
| Chapter 12 | Surface Areas and Volumes NCERT Exemplar Book PDF |
| Chapter 13 | Statistics NCERT Exemplar Book PDF |
| Chapter 14 | Probability NCERT Exemplar Book PDF |
NCERT Exemplar Class 10 Maths Coordinate Geometry: available above as a free PDF download, aligned to the 2026-27 NCERT Class 10 Mathematics syllabus.
| Resource | Link |
|---|---|
| NCERT Solutions | Coordinate Geometry NCERT Solutions |
| Notes | Coordinate Geometry Class 10 Notes |
| Formula Sheet | Coordinate Geometry Formula Sheet |
| NCERT Book PDF | Coordinate Geometry NCERT Book PDF |
| Exemplar Solutions | Coordinate Geometry Exemplar Solutions |
| Handwritten Notes | Coordinate Geometry Handwritten Notes |
NCERT Exemplar Class 10 Maths Coordinate Geometry Frequently Asked Questions
Ques. Where can I download the NCERT Exemplar Class 10 Maths Coordinate Geometry PDF for free?
Ans. You can download the Coordinate Geometry Class 10 Maths NCERT Exemplar Book PDF directly from this page. Both the Normal and HD versions are available, and both are free.
Ques. Is this Coordinate Geometry Exemplar Book aligned with the 2026-27 NCERT syllabus?
Ans. Yes. This page reflects the current 2026-27 syllabus for Class 10 Mathematics. The Exemplar covers the distance formula, section formula (internal and external division), midpoint formula, collinearity condition, and the area of a triangle using coordinates.
Ques. How many problems are in the Class 10 Maths Coordinate Geometry Exemplar PDF?
Ans. The Coordinate Geometry Exemplar PDF contains 55 unsolved problems, split as 20 MCQ (Exercise 7.1), 10 reasoning items (Exercise 7.2), 17 short answer (Exercise 7.3) and 8 long answer (Exercise 7.4).
Ques. Is the NCERT Exemplar harder than the NCERT textbook for Coordinate Geometry?
Ans. Yes. The Exemplar chains two formula applications into one problem, asks students to justify true-or-false claims about collinearity and midpoint properties, and uses general algebraic conditions where the textbook gives specific numerical coordinates. This layered style matches the HOTS and case-based questions in recent CBSE Class 10 board papers.
Ques. Should I attempt the Coordinate Geometry Exemplar before or after the NCERT textbook?
Ans. Attempt them in parallel. Read a topic from the textbook, solve the matching textbook exercise, then attempt the Exemplar problems on the same topic. Trying the Exemplar first usually leaves students stuck on multi-step section-formula and area-based proofs.
Ques. Which Exemplar problems most resemble the CBSE Board long-answer style for Chapter 7?
Ans. The eight long-answer problems in Exercise 7.4 are closest to the CBSE 5-mark style. They cover multi-step coordinate proofs where students must verify the type of a quadrilateral using distance and diagonal formulas, or find unknown coordinates using multiple geometric constraints simultaneously.
Ques. What are the key formulas tested in the Coordinate Geometry Exemplar?
Ans. The main formulas tested throughout the Exemplar are: (1) Distance formula between two points, (2) Section formula for internal and external division, (3) Midpoint formula as a special case of the section formula with ratio 1:1, (4) Area of a triangle using the coordinate determinant formula, and (5) the collinearity condition (area of triangle equals zero). The Exemplar also tests the distance from a point to the origin as a special case of the distance formula.
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