अध्याय 7 · Class 10 UP Board · Free Worksheet PDF

Coordinate Geometry Sums for Class 10 — Free UP Board Worksheet PDF with Answers

Download a free printable coordinate geometry worksheet for Class 10 UP Board with 30 practice questions covering coordinate geometry concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Coordinate Geometry Sums for Class 10 — Practice Questions

Here are 8 sample coordinate geometry sums from this Class 10 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.बिंदुओं (2,3)(2, 3) और (4,1)(4, 1) के बीच की दूरी ज्ञात कीजिए।
A.222\sqrt{2} इकाई
B.44 इकाई
C.22 इकाई
D.2\sqrt{2} इकाई

Difficulty: Easy

Q2.बिंदु (−3,4)(-3, 4) की मूल बिंदु से दूरी क्या है?
A.33 इकाई
B.44 इकाई
C.55 इकाई
D.77 इकाई

Difficulty: Easy

Q3.उस बिंदु के निर्देशांक ज्ञात कीजिए जो बिंदुओं (4,−3)(4, -3) और (8,5)(8, 5) को 3:13:1 के अनुपात में आंतरिक रूप से विभाजित करता है।
A.(7,3)(7, 3)
B.(3,7)(3, 7)
C.(7,2)(7, 2)
D.(2,7)(2, 7)

Difficulty: Easy

Q4.बिंदुओं (2,3)(2, 3) और (6,7)(6, 7) को जोड़ने वाले रेखाखंड के मध्य-बिंदु के निर्देशांक क्या हैं?
A.(4,5)(4, 5)
B.(8,10)(8, 10)
C.(4,4)(4, 4)
D.(3,5)(3, 5)

Difficulty: Easy

Q5.उन त्रिभुज का क्षेत्रफल ज्ञात कीजिए जिसके शीर्ष (1,−1)(1, -1), (−4,6)(-4, 6) और (−3,−5)(-3, -5) हैं।
A.2424 वर्ग इकाई
B.24.524.5 वर्ग इकाई
C.2525 वर्ग इकाई
D.25.525.5 वर्ग इकाई

Difficulty: Easy

Q6.यदि बिंदु (7,−2)(7, -2), (5,1)(5, 1) और (3,k)(3, k) संरेखीय हैं, तो kk का मान ज्ञात कीजिए।
A.22
B.44
C.66
D.88

Difficulty: Easy

Q7.x-अक्ष पर स्थित एक बिंदु के निर्देशांक किस रूप में होते हैं?
A.(0,y)(0, y)
B.(x,0)(x, 0)
C.(x,x)(x, x)
D.(y,y)(y, y)

Difficulty: Easy

Q8.यदि बिंदुओं (x,7)(x, 7) और (1,15)(1, 15) के बीच की दूरी 1010 इकाई है, तो xx का मान ज्ञात कीजिए।
A.77
B.−5-5
C.77 या −5-5
D.55

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$2\sqrt{2}$ इकाई
Q2:$5$ इकाई
Q3:$(7, 3)$
Q4:$(4, 5)$
Q5:$24$ वर्ग इकाई
Q6:$4$
Q7:$(x, 0)$
Q8:$7$ या $-5$

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicCoordinate Geometry
BoardUP Board
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free coordinate geometry sums for Class 10?+
You can download a free Coordinate Geometry PDF worksheet for Class 10 UP Board right here on SparkEd. The worksheet includes 30 practice questions (coordinate geometry concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many coordinate geometry questions are in this Class 10 worksheet?+
This SparkEd worksheet for Coordinate Geometry Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover coordinate geometry concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Coordinate Geometry worksheet for Class 10 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this coordinate geometry worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 10 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board exam pattern and difficulty level.
Can I print this Coordinate Geometry worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include coordinate geometry word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.