Class 9 NCERT Solutions Maths Chapter 3 - Coordinate Geometry
Thoroughly understand the concept of the Cartesian plane with TopperLearning’s NCERT Solutions for CBSE Class 9 Mathematics Chapter 3 Coordinate Geometry. Learn to plot points in a Cartesian plane with our Maths textbook solutions. Our experts include crucial concept insights in these model answers to give you more information for conceptual clarity.
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Coordinate Geometry Exercise Ex. 3.1
Coordinate Geometry Exercise Ex. 3.2
(ii) The name of each part of the plane formed by these two lines x-axis and y-axis is called as quadrants (one fourth part)
(iii) Name of the point where there two lines intersect is called as origin.
(i) The x coordinate and y coordinate of point B are - 5 and 2 respectively. So the coordinates of point B is (- 5, 2)..
(ii) The x coordinate and y coordinate of point C are 5 and - 5 respectively. So the coordinates of point C is (5, - 5).
(iii) The point whose x coordinate and y coordinate are - 3 and - 5 respectively is point E.
(iv) The point whose x coordinate and the y coordinate are 2 and - 4 respectively is point G.
(v) The x coordinate of point D is 6. So, abscissa of the point D is 6.
(vi) The y coordinate of point H is - 3. So, ordinate of point H is - 3.
(vii) The x coordinate and y coordinate of point L are 0 and 5 respectively. So coordinates of point L is (0, 5).
(viii) The x coordinate and y coordinate of point M are - 3 and 0 respectively. So the coordinates of point M is (- 3, 0).
Concept Insight: For an ordered pair(x, y) in the coordinate plane, x is the distance of the point from Y axis also called the abscissa and y is the distance of the point from X axis also called the ordinate.
Remember that while locating the position of a point we always write x coordinate first and then y coordinate, the two coordinate points are always written in a closed bracket and are separated by a comma.
Coordinate Geometry Exercise Ex. 3.3
(ii) The point (3,-1) lies in IVth quadrant in Cartesian plane because for point (3,-1) , x coordinate is positive and y coordinate is negative.
(iii) The point (-1,0) lies on negative x-axis because for point (-1,0) the value of y coordinate is zero and the value of x coordinate is negative.
(iv) The point (1,2) lies in Ist quadrant as for point (1,2) both x and y are positive
(v) The point (-3,-5) lies in the IIIrd quadrant in Cartesian plane as for point (-3,-5) both x and y are negative.
Now let's plot each of the above points on the coordinate plane.
For plotting the points let say (3,4) start from the origin first move 3 units along positive x axis and then from this marked position move 4 units along positive y axis.