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.
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 and Explanation
(i) The x-coordinate and the y-coordinate of point B are −5 and 2 respectively. Therefore, the coordinates of point B are (−5, 2).
(ii) The x-coordinate and the y-coordinate of point C are 5 and −5 respectively. Therefore, the coordinates of point C are (5, −5).
(iii) The point whose x-coordinate and y-coordinate are −3 and −5 respectively is point E.
Top Questions on Cartesian System
Write the answer of each of the following questions:
(i) What is the name of horizontal and the 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
- CBSE Class IX
- Mathematics
- Cartesian System
Questions Asked in CBSE Class IX exam
- Were they aware only of their differences or did they also naturally share friendships and experiences? (Think of the bedtime stories in Kalam’s house; of who his friends were; and of what used to take place in the pond near his house.)
- CBSE Class IX
- My childhood
- (i) His thoughts when he looks into the mirror
(ii) His thoughts when the snake is coiled around his arm- CBSE Class IX
- The snake and the mirror
- Rewrite the sentences below, changing the verbs in brackets into the passive form.
1. In yesterday’s competition the prizes (give away) by the Principal.
2. In spite of financial difficulties, the labourers (pay) on time.
3. On Republic Day, vehicles (not allow) beyond this point.
4. Second-hand books (buy and sell) on the pavement every Saturday.
5. Elections to the Lok Sabha (hold) every five years.6. Our National Anthem (compose) Rabindranath Tagore.- CBSE Class IX
- My childhood
- Discuss what these phrases mean to you.
(i) a yellow wood
(ii) it was grassy and wanted wear
(iii) the passing there
(iv) leaves no step had trodden black
(v) how way leads on to way- CBSE Class IX
- The fun they had
- (i) The person he wants to marry
(ii) The person he actually marries- CBSE Class IX
- The snake and the mirror
Concepts Used:
Coordinate Geometry
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher René Descartes.
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