How will you describe the position of a table lamp on your study table to another person? Solution: To describe the position of a table lamp placed on the table, let us consider the table lamp as P and the table as a plane. Now choose two perpendicular edges of the table as the axes OX and OY. Thus, the position of the table lamp P is described by the ordered pair a, b.
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 other streets of the city run parallel to these roads and are m apart. There are 5 streets in each direction. 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 2 nd street running in the North-South direction and 5 th 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. Solution: i A unique cross street as shown by the point A 4, 3. The two cross streets are uniquely found because of the two reference lines we have used for locating them. Solution: i The horizontal line: x � axis and the vertical line: y � axis.
Solution: From the figure, we have i The coordinates of B are -5,2. Verify your answer by locating them on the Cartesian plane. Solution: The point -2, 4 is having negative abscissa and positive ordinate. The point 3, -1 is having positive abscissa and negative ordinate. The point -1, 0 is having negative abscissa and zero ordinate. The point 1, 2 is having the abscissa as well as ordinate positive. The point -3, -5 is having the abscissa as well as ordinate negative. These points are plotted in the Cartesian plane as shown in the following figure as A -2, 4 ; B 3, -1 ; C -l, 0 ; D l, 2 and E -3, Solution: The given points are -2, 8 , -1, 7 , 0, We mark the point as A -2, 8.
We mark the point as B -1, 7. We mark the point as D 1, 3. We mark the point E 3, RD Sharma Class 12 Solutions. Watch Youtube Videos.
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