NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry (New Syllabus)

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry are useful for the students as they help them to get good marks in the examination. At Study Circle we aim to help students with detailed chapter-wise solutions, so that students can understand the questions easily.

By solving questions from NCERT Solutions for Class 9 Maths Chapter 3, students will be able to clear all their concepts. Apart from this, Study Circle will always be there to help students to prepare for CBSE exams and help them score well.

NCERT Solutions for Class 9 Maths Chapter 3

Exercise 3.1

Question 1. How will you describe the position of a table lamp on your study table to another person?

Solution:

To describe the position of the table lamp on the study table, we take two lines, a perpendicular and a horizontal line. Considering the table as a plane (x and y axis) and taking perpendicular lines as the Y axis and horizontal as the X axis, respectively, take one corner of the table as the origin, where both X and Y axes intersect each other.

Now, the length of the table is the Y-axis, and the breadth is the X-axis. From the origin, join the line to the table lamp and mark a point. The distances of the point from both the X and Y axes should be calculated and then should be written in terms of coordinates.

The distance of the point from the X-axis and the Y-axis is x and y, respectively, so the table lamp will be in (x, y) coordinates.

Here, (x, y) = (15, 25)

NCERT Solutions for Class 9 Maths Chapter 3

Question 2. (Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city in your notebook. Represent the roads/streets by single lines.

There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

(i) how many cross-streets can be referred to as (4, 3)?

(ii) how many cross-streets can be referred to as (3, 4)?

Solution:

NCERT Solutions for Class 9 Maths Chapter 3

  1. Only one street can be referred to as (4,3) (as clear from the figure).
  2. Only one street can be referred to as (3,4) (as we see from the figure).

                          NCERT Solutions for Class 9 Maths Chapter 3

    Exercise 3.2

    Question 1. Write the answer to each of the following questions.

    (i) What is the name of the horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane?

    (ii) What is the name of each part of the plane formed by these two lines?

    (iii) Write the name of the point where these two lines intersect.

    Solution:

    (i) The name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane is the x-axis and the y-axis, respectively.

    (ii) The name of each part of the plane formed by these two lines, the x-axis and the y-axis, is quadrants.

    (iii) The point where these two lines intersect is called the origin.

    Question 2. See Fig.3.14, and write the following.

    i. The coordinates of B.

    ii. The coordinates of C.

    iii. The point identified by the coordinates (–3, –5).

    iv. The point identified by the coordinates (2, – 4).

    v. The abscissa of the point D.

    vi. The ordinate of the point H.

    vii. The coordinates of the point L.

    viii. The coordinates of the point M

    Solution:

    i. The coordinates of B are (−5, 2).

    ii. The coordinates of C are (5, −5).

    iii. The point identified by the coordinates (−3, −5) is E.

    iv. The point identified by the coordinates (2, −4) is G.

    v. Abscissa means x coordinate of point D. So, abscissa of point D is 6.

    vi. Ordinate means y coordinate of point H. So, the ordinate of point H is -3.

    vii. The coordinates of point L are (0, 5).

    viii. The coordinates of point M are (−3, 0)

    NCERT Solutions for Class 9 Maths Chapter 3

Why Should We Learn Class 9 Maths Chapter 3 Coordinate Geometry?

In the fascinating subject of coordinate geometry, students can study about the location of an object in a plane, the coordinates or ideas of the cartesian plane, etc.

Consider the following scenario: “Imagine you just know the street number of your friend’s home. If you knew both the home number and the street number, would it make it easier for you to find her residence?

There are numerous more circumstances in which describing a point’s position in relation to multiple lines may be necessary in order to discover it. The third chapter of the NCERT textbooks can teach students more about this.

Frequently Asked Questions (FAQs)

1. Where can I find NCERT Solutions for Class 9 Maths Chapter 3?

You can find NCERT Solutions for Class 9 Maths Chapter 3 for free on the educational website Study Circle.

2. Are NCERT Solutions for Class 9 Maths Chapter 3 sufficient for competitive exam preparation?Study Circles provide a strong foundation, recommended to be supplemented with practice and study material for competitive exams.
3. Does Study Circle NCERT Solutions cover all the exercises of Chapter 3?

Yes, Study Circle NCERT Solutions for Class 9 Maths Chapter 3 comprehensively covers all the exercises and problems.
4. Are NCERT solutions suitable for students of different educational boards?

Yes, NCERT solutions are widely used and can benefit students following different educational boards.
5. What should I do if I face difficulties in NCERT Solutions?

If you encounter difficulties, seek help from teachers, peers, or the Study Circle for maths.

 

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