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Question 1. How will you describe the position of a table lamp on your study table to another
person?
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.
(i) The perpendicular distance of the point P from the y - axis measured along the
positive direction of the x - axis is PN = OM = 4 units.
(ii) The perpendicular distance of the point P from the x - axis measured along the
positive direction of the y - axis is PM = ON = 3 units.
(iii) The perpendicular distance of the point Q from the y - axis measured along
the negative direction of the x - axis is OR = SQ = 6 units.
(iv) The perpendicular distance of the point Q from the x - axis measured along
the negative direction of the y - axis is OS = RQ = 2 units.
Now, using these distances, how can we describe the points so that there is no
confusion?
We write the coordinates of a point, using the following conventions:
(i) The x - coordinate of a point is its perpendicular distance from the y - axis
measured along the x -axis (positive along the positive direction of the x - axis
and negative along the negative direction of the x - axis). For the point P, it is
+ 4 and for Q, it is – 6. The x - coordinate is also called the abscissa.
(ii) The y - coordinate of a point is its perpendicular distance from the x - axis
measured along the y - axis (positive along the positive direction of the y - axis
and negative along the negative direction of the y - axis). For the point P, it is
+ 3 and for Q, it is –2. The y - coordinate is also called the ordinate.
(iii) In stating the coordinates of a point in the coordinate plane, the x - coordinate
comes first, and then the y - coordinate. We place the coordinates in brackets.
Hence, the coordinates of P are (4, 3) and the coordinates of Q are (– 6, – 2).
Note that the coordinates describe a point in the plane uniquely. (3, 4) is not the
same as (4, 3).
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 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.
Questions 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.
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