Class 10 Coordinate Geometry Practice Questions
Daily Update: Quizzes, Flashcards, Tests, Worksheets etc are shared .
Daily Update: Colorful Notes, Flashcards, Tests, Worksheets, etc are shared .
CLASS 10 COORDINATE GEOMETRY PRACTICE QUESTIONS
SECTION A — MCQs
- The distance between the points A(3, 4) and B(6, 8) is:
A. 5
B. √25
C. √41
D. 7 - The coordinates of the midpoint of the line joining (2, −2) and (6, 4) are:
A. (4, 1)
B. (2, 1)
C. (6, 1)
D. (4, −1) - If the distance between points P(x, 4) and Q(2, −2) is 10, then x equals:
A. 6
B. −6
C. 8
D. −8 - The coordinates of a point which divides the line segment joining (1, 3) and (5, 7) internally in the ratio 1 : 1 are:
A. (3, 5)
B. (2, 4)
C. (4, 6)
D. (5, 3) - If the area of a triangle formed by three points is zero, then the points are:
A. vertices of an equilateral triangle
B. collinear
C. vertices of a right-angled triangle
D. non-collinear
SECTION B — 1-MARK QUESTIONS
Write the distance formula between two points in a plane.
Find the distance of the point (0, 0) from the point (6, 8).
Write the coordinates of the midpoint of the line joining (−2, 4) and (4, −6).
What is the condition for three points to be collinear in coordinate geometry?
Name the formula used to find the coordinates of a point dividing a line segment in a given ratio.
SECTION C — 2-MARK QUESTIONS
Find the distance between the points (−3, 4) and (5, −2).
Find the coordinates of the point dividing the line segment joining (2, 6) and (10, −2) internally in the ratio 3 : 1.
Find the coordinates of the midpoint of the hypotenuse of a right-angled triangle whose vertices are (2, 3), (6, 3), and (6, 7).
Find the value of k if the points (k, 2), (4, 6), and (6, 8) are collinear.
Find the distance of the point (4, −3) from the x-axis.
SECTION D – 3 MARK QUESTIONS
Find the coordinates of the point dividing the line joining A(−2, 2) and B(4, 8) internally in the ratio 1 : 2.
Find the distance between the points A(−1, 2) and B(3, −2) and hence verify the distance formula.
Find the coordinates of the point which divides the line joining (1, −3) and (7, 5) externally in the ratio 2 : 3.
Find the area of the triangle whose vertices are (2, 3), (4, 7), and (6, 5).
Find the value of k such that the area of the triangle formed by the points (1, 2), (4, k), and (6, 5) is 10 square units.
SECTION E – 4 MARK QUESTIONS
Find the coordinates of the point which divides the line segment joining (−4, 6) and (8, −2) internally in the ratio 2 : 3.
Find the area of the triangle formed by the points (1, 1), (4, 2), and (6, 5). Hence determine whether the points are collinear or not.
Find the coordinates of the vertices of a triangle if the midpoints of its sides are (1, 3), (3, 5), and (5, 1).
Find the coordinates of the point on the y-axis which is equidistant from the points (4, 6) and (2, −4).
SECTION F – WORD PROBLEMS
A school playground is in the shape of a triangle with vertices at (1, 2), (4, 6), and (6, 3). Find the area of the playground.
The coordinates of three villages are (2, 3), (6, 7), and (10, 3). Find the area of the region enclosed by the villages.
A person walks from point A(2, 3) to B(6, 7) and then to C(10, 3). Find the total distance travelled.
Find the coordinates of the point on the x-axis which is equidistant from the points (4, 5) and (−2, 3).
A triangle has vertices at (1, −2), (4, 3), and (−2, 5). Find the area of the triangle.
Class 10 Coordinate Geometry Practice Questions – Complete CBSE Chapter Guide
Class 10 Coordinate Geometry Practice Questions are essential for CBSE students because this chapter combines algebra with geometry and tests a student’s ability to apply formulas accurately. Coordinate Geometry is one of the most scoring chapters in Class 10 Maths when practised properly, yet many students lose marks due to careless calculation errors and weak conceptual understanding. Regular practice of Class 10 Coordinate Geometry Practice Questions helps students build precision, speed, and confidence for board exams.
As per the latest CBSE exam blueprint, Coordinate Geometry carries around 4–6 marks in the Class 10 Board Examination. Questions from this chapter are commonly asked as MCQs, short numerical problems, and 4-mark application-based questions. Since questions are often calculation-heavy, students must practise a variety of Class 10 Coordinate Geometry Practice Questions to avoid mistakes under exam pressure.
Why Class 10 Coordinate Geometry Practice Questions Are Important
Coordinate Geometry is a formula-based chapter, but scoring well depends on understanding when and how to apply those formulas correctly. Practising Class 10 Coordinate Geometry Practice Questions helps students:
Master the distance formula
Apply the section formula accurately (internal and external division)
Find the area of a triangle using coordinates
Identify collinear points using area concepts
Improve calculation accuracy and presentation
This chapter also strengthens analytical thinking, which helps in later topics like Trigonometry and Statistics.
Topics Covered Through Class 10 Coordinate Geometry Practice Questions
All Class 10 Coordinate Geometry Practice Questions on this page strictly follow the latest CBSE syllabus and include questions from the following topics:
Distance formula between two points
Coordinates of a point dividing a line segment internally
Coordinates of a point dividing a line segment externally
Coordinates of midpoint of a line segment
Area of a triangle formed by three given points
Conditions for collinearity of points
Application-based numerical and word problems
No deleted or out-of-syllabus topics are included, ensuring focused and exam-relevant preparation.
Â
Exam Pattern and Trends in Coordinate Geometry
In recent CBSE board papers, Class 10 Coordinate Geometry Practice Questions have appeared in the following forms:
MCQs based on distance or midpoint formula
2-mark questions involving direct substitution
3–4 mark questions on section formula
Area-based questions to test collinearity
Real-life application problems using coordinates
Most mistakes in this chapter occur due to calculation errors, so repeated practice is the key to success.
How These Class 10 Coordinate Geometry Practice Questions Help You Score 95+
Scoring high in Coordinate Geometry depends on accuracy and methodical solving. The Class 10 Coordinate Geometry Practice Questions provided on this page are designed to:
Improve speed in calculations
Reduce silly arithmetic mistakes
Build confidence in applying formulas
Prepare students for lengthy 4-mark problems
Train students to present step-wise solutions clearly
With consistent practice, students can convert this chapter into a guaranteed scoring area.
Common Mistakes Students Make in Coordinate Geometry
Students often lose marks in this chapter due to:
Incorrect substitution of values in formulas
Confusion between internal and external division
Calculation mistakes while squaring numbers
Skipping steps in long numerical solutions
Incorrect unit handling in final answers
Solving structured Class 10 Coordinate Geometry Practice Questions regularly helps eliminate these errors naturally.
How to Use This Page Effectively
To make the best use of this page:
Start with MCQs to revise formulas
Practise short numerical questions for accuracy
Focus on section formula questions carefully
Spend extra time on area-based problems
Recheck calculations after every solution
Following this approach ensures complete mastery of Class 10 Coordinate Geometry Practice Questions before the board exam.
Who Should Use These Class 10 Coordinate Geometry Practice Questions?
This page is ideal for:
CBSE Class 10 students
Students aiming for 95–99 marks in Mathematics
Teachers looking for exam-focused practice material
Students revising for pre-boards and final exams
The difficulty level is aligned with actual CBSE board expectations.
Final Words
Coordinate Geometry is a high-weightage and highly scoring chapter when practised properly. Regular practice using high-quality Class 10 Coordinate Geometry Practice Questions ensures strong formula application skills and confidence during the exam.
This page is designed to serve as a complete practice solution for mastering Coordinate Geometry and achieving top scores in CBSE Class 10 Maths.