Ex - 3.2
Question 1. 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 place?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of point where these two lines intersect.
Question 1. 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 place?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of point where these two lines intersect.
Solution
(i) The name of horizontal lines and vertical lines drawn to determine the position of any point in the Cartesian plane is x-axis and y axis respectively.
(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.
(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.
Concept Insight: The question is based on factual knowledge remember that the horizontal and vertical lines drawn to determine the position are called x-axis and y axis respectively. The point where these two axes intersect is called the origin and these axes divide the coordinate plane into four parts called the 4 quadrants.
Question 2. See the given figure, 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 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.
(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
(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.
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