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# CBSE Class 10 Maths Important Questions on Chapter 7 - Coordinate Geometry

Last updated date: 20th Sep 2024
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## CBSE Class 10 Maths Important Questions Chapter 7 - Coordinate Geometry - Free PDF Download

Vedantu has provided the important questions for CBSE Class 10 Maths Chapter 7 - Coordinate Geometry in a manner that students will find easy to understand and study. Our expert teachers have spent dutiful hours in making these questions as close to the ones in the actual paper as possible. Students will most likely find these questions common in their question paper since we follow the CBSE guidelines strictly in this regard. This chapter introduces students to coordinate geometry in mathematics. Mathematics is known to be a tough subject and this article is supposed to help students to figure out how to study the important topics in the chapter by going over the important questions that are provided in Vedantu. This article shows students how to prepare for any upcoming examinations by helping them practise the sums that are relevant and have a higher chance of coming into the exam. Mathematics is a complex subject to study on your own and to help students can use important questions of coordinate geometry class 10 provided to ace their examinations. Class 10 boards are very important for students and to help prepare and do well they can do the questions as a part of their revision.

Vedantu is a platform that provides free NCERT Book Solutions and other study materials for students. You can Download Maths NCERT Solutions Class 10 and NCERT Solution Class 10 Science to help you to revise the complete Syllabus and score more marks in your examinations.

## Download CBSE Class 10 Maths Important Questions 2024-25 PDF

Also, check CBSE Class 10 Maths Important Questions for other chapters:

 CBSE Class 10 Maths Important Questions Sl.No Chapter No Chapter Name 1 Chapter 1 Real Numbers 2 Chapter 2 Polynomials 3 Chapter 3 Pair of Linear Equations in Two Variables 4 Chapter 4 Quadratic Equations 5 Chapter 5 Arithmetic Progressions 6 Chapter 6 Triangles 7 Chapter 7 Coordinate Geometry 8 Chapter 8 Introduction to Trigonometry 9 Chapter 9 Some Applications of Trigonometry 10 Chapter 10 Circles 11 Chapter 11 Constructions 12 Chapter 12 Areas Related to Circles 13 Chapter 13 Surface Areas and Volumes 14 Chapter 14 Statistics 15 Chapter 15 Probability
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## Important Topics Covered under CBSE Class 10 Maths Chapter 7 - Coordinate Geometry

Coordinate geometry draws the linkage between geometry and algebra using various graphs and lines. Some of the concepts covered in this chapter are as follows

### History of Coordinate Geometry

Coordinate geometry was first introduced by a French mathematician known as Rene Descartes; he was the first person to find a method to describe the location of points. Later in his research, he concluded that different curves and lines could be found using equations using coordinate geometry. He was the first person to draw the link between geometry and algebra. His work was considered extremely useful and to honour his work the coordinates of a point are called cartesian coordinates and the coordinate plane is known as the cartesian coordinate plane.

### Coordinates

Coordinates are simply the various points on the plane. Using the x-axis and y-axis we can find out the exact location of the point. Because we are using a grid system it is much easier to locate anything because we just need to identify which cell( the intersection of rows and columns) the point falls.

### Coordinate Plane

In coordinate geometry, there is a coordinate plane where different points are placed. There are usually two different scales- one with right angles to it is known as the y axis and the one running across from the plane is known as the x-axis. The point of origin is where both the x and y-axis meet and are known as the point of origin, this is usually at point 0.

Co coordinate geometry is quite simple, it uses pairs of numbers to give the location of a point on a plane.

## Advantages of Coordinate Geometry

When we know the coordinates of certain points we can do the following- Determine the distance between them

• We can find the equation, slope, and midpoint of any line segment.

• We can find whether the lines are perpendicular or parallel.

• Using the points we can find the perimeter and areas of any polygon.

• By Reflecting, moving, and rotating we can transform any shape.

• Define various eclipses, curves, and circles.

• Find out the distances between different points, lines, and shapes.

## Class 10 Maths Chapter 7 Important Questions

This chapter introduces students to coordinate geometry and students can study from this subject the very basics and get to a more intermediate level. The following are the important questions that students must look at when preparing for their examinations-

1. There are two routes to use to travel from destination A to destination B. First Bus reaches via point C and the second bus reaches from A to B Directly. If Coordinates of A, B, and C are (-2,-3),(2,3), and (3,2) respectively then which bus do you want to travel from A to B? which value is depicted in the question.

2. On a sports day celebration, Shyam and Ram are standing at positions A and B and their coordinates are (2,-2) and (4,8). The teachers ask Pooja to fix the flag at the midpoint of the line joining points A and B. Find the coordinates of the midpoint? Which type of value would you infer from the question?

3. To raise awareness of the hazard of smoking and the harm it does to the body, a school decided to start a “ no smoking” campaign. 10 students are asked to prepare campaign flags in the shape of a triangle. If the costs of 1cm2 of each banner are 2 rupees then find the overall cost incurred in the campaign. Which value is depicted in the question?

4. Find the area of a rhombus if its vertices are (3,0), (4,5),(-1,4) and (-2,-1) taken in the area.

5. Find the centroid of a triangle whose vertices are(4,-8), (-9,7), and (8, 13).

6. Prove that in a right-angled triangle the midpoint of the hypotenuse is in equal distance from all its vertices

7. Prove that the diagonals of a rectangle bisect each other are all equal.

8. The length of a line segment is 10. If one endpoint (2,-3) and the abscissa of the second endpoint is 10 shows that the ordinate is 3 or -9.

9. Using section formulas show that points (-1,2),(5,0) and (2,1) are collinear.

10. Find the relation between x and y such that point (x,y) is equidistant from the points (7,1) and (3,5).

## Some Practice Questions on CBSE Class 10 Maths Chapter 7 - Coordinate Geometry

1. (2a, a – 7) is the centre of a given circle. If the circle is passing through the point (11, –9) and it has a diameter of 10√2 units, then determine the value of a.

2. Are the points (1, 7), (4, 2), (–1, –1), and (– 4, 4) the vertices of a square? Explain why.

3. Determine a point on the x-axis that is equidistant from (2, –5) and (–2, 9).

4. Determine the ratio in which the line segment joining the points (8, –9) and (2, 1) is divided into by the line 2x + 3y – 5 = 0. Also, determine the coordinates of this point of division.

5. If the vertices of a rhombus are (3, 0), (4, 5), (– 1, 4), and (– 2, – 1), when taken in order, then determine its area. [Hint: Area of a rhombus = 1/2 (product of its diagonals)]

6. The distances of P(x, y) from A(5, 1) and B(-1, 5) are equal. Prove that 3x = 2y.

7. What ratio is the line segment joining the points P(2, -2) and Q(3, 7) divided by the point (24/11, y)? Also, determine the value of y.

8. The points A (1, –2), B (2, 3) C (a, 2) and D (– 4, –3) form a parallelogram. Determine the value of a and the height of this parallelogram, by considering AB to be the base.

9. The vertices of a triangle are (1, -1), (-4, 6), and (-3, -5). Determine its area.

10. The points A(x, y), B(-4, 6), and C(-2, 3) are collinear. Find a relation between x and y.

## Benefits of Class 10 Maths Chapter 7 Important Questions

Mathematics can be quite a difficult subject to understand by yourself. So by using the right guide material like the ones found in Vedantu students can utilise it to their maximum and score the best marks possible. A lot of this subject is a theory so students need to just understand the various concepts and don't have to mug up anything like science subjects.

• Students can use this text to use their time wisely, it helps boost their confidence after consistent practice and students can plan their preparation accordingly.

• Students can utilise and practise the important questions so that they can ace their examinations.

• It provides students with a structure with which they will study for his or her upcoming examinations.

• This is a fundamental subject for high school kids and plays an important role in higher studies.

• Students don’t need to worry about the relevance of these questions as they're all cross-checked and updated consistently with the newest CBSE guidelines and rules. Therefore, the information in Vedantu is genuine and reliable.

• Students studying this chapter on coordinate geometry will find that it helps in higher studies and helps them understand the basics in any design engineering field.

## Conclusion

Mathematics is known to be a difficult subject. Coordinates are simply the various points on a plane. Using the x-axis and y-axis we can find out the exact location of the point. students will learn how to use various coordinate plans and different ways to locate points, lines, curves, and shapes. Students can use this article to use their time wisely, it helps boost their confidence after consistent practice and students can plan their preparation accordingly. Students can work more diligently towards their goals and strive for higher marks as well. These important questions make sure that students are aware of the various topics in the subject and learn to master all the concepts. This chapter teaches students to coordinate geometry in mathematics the questions provided in this article helps students understand the subject better.

## FAQs on CBSE Class 10 Maths Important Questions on Chapter 7 - Coordinate Geometry

1. What does Class 10 Maths Chapter 7 depict?

Class 10 Maths Chapter 7 depicts Coordinate Geometry which is the branch of Mathematics. It helps us to exactly locate a given point with the help of an ordered pair of numbers.

Coordinate geometry is also well known as Cartesian Geometry. It helps in finding the distance between two points whose coordinates are given. The coordinates of the point can also be found by this theory, which divides the line segment joining two points in the given ratio. Through this, you can also learn how to find the area of a triangle with reference to the coordinate of its vertices.

2. What is Coordinate Geometry?

Coordinate Geometry is considered to be one of the most interesting chapters of Mathematics. Coordinate Geometry (or the analytic geometry) depicts the link between Geometry and Algebra through graphs that involve curves and lines.

Coordinate geometry is named as the study of graphs. Graphs are the visual representations of the data that derives from every aspect of our lives. There are various types of graphs like bar graphs, histograms, line graphs, etc.

3. Why should I opt for Important Questions for Class 10 Maths Chapter 7?

As the name suggests, Important Questions for Class 10 Maths Chapter 7 is the compilation of all the important questions from the specified chapter. These questions are truly important for all the students who are preparing for the board exam and eager to score the best possible marks in the exam. This questionnaire is created on the basis of previous years question papers, textbook exercises, chapter-wise weightage etc.

4. Can I download the solutions of these Important Questions for Class 10 Maths Chapter 7?

Yes, you can download the solutions of these Important Questions for Class 10 Maths Chapter 7 titled Coordinate Geometry from Vedantu website (vedantu.com). These solutions are created by our in-house experts hence you will not have to doubt its accuracy. You can also download the Vedantu app from Google play store to access these important questions along with the readymade so.

5. Is it enough to practice using Vedantu’s important Questions for Chapter 7 of Class 10 Maths?

Chapter 7 of Class 10 Maths requires extensive practice. The most significant course material in this regard is your NCERT textbook and its Solutions. After that, you can practice using Vedantu's Important Question for Chapter 7 of Class 10 Maths. These questions provide you with a ton of practice and are crucial for your board examinations. Another important thing is to practice using sample papers and previous years’ questions. All these together form the most crucial sources of your CBSE exam preparation.

6. Is Class 10 Mathematics Chapter 7 Coordinate Geometry easy?

Coordinate geometry is an important chapter for CBSE board examinations. It is a pretty straightforward chapter in which you can score perfect marks if you understand the concepts well. Questions of a total of 6 marks may be asked from this chapter.

Coordinate Geometry does require lots of practice and Vedantu's Important Questions for Chapter 7 of Class 10 Maths is the ideal place for this. Get tons of practice on a  variety of questions thanks to Vedantu.

7. How many questions can I find on Vedantu’s Important Questions for Chapter 7 of Class 10 Maths?

Vedantu's Important Questions for Chapter 7 ‘Coordinate Geometry’ of Class 10 Maths contains 94 questions ranging from 1 to 4 marks along with many value-based questions.

Practising these many questions is bound to perfect your understanding of the chapter and in turn, provide much-needed practise for the CBSE Board examinations. As soon as you finish your NCERT textbook questions you must practice these questions regularly. Frequent practice at regular intervals will help you master all the Class 10 Mathematics chapters.

8. What are some important questions from Coordinate Geometry?

Few Important Questions from Chapter 7 ‘Coordinate Geometry’ of Class 10 Maths are as follows:

If, Q (0,1) is equidistant from P (5, -3) and R (x, 6), find the values of x. also, find the distances QR and PR.  (4 Marks)

Find the centre of a circle passing through the points (6, -6), (3, -7), and (3, 3). (3 Marks)

Find the relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5)

9. What are the important topics of Chapter 7 ‘Coordinate Geometry’ of Class 10 Maths ?

Important topics covered in Coordinate Geometry are as follows:

a. Distance Formula

b. Section Formula

c. Special Case of the midpoint of a line segment joining two points

d. Area of a Triangle

To practice important questions from this chapter, visit Vedantu's Important Questions for Chapter 7 ‘Coordinate Geometry’ of Class 10 Maths . These are handpicked from the NCERT textbook, sample papers, and previous years’ question papers. Hence these are the apt test practice tool for Class 10 Mathematics CBSE Board exams. The study material provided by Vedantu is available to download from its website (vedantu.com) absolutely free of cost.