M.M: 33 marks Dated: 03/07/2011
Time: 1 hour 15 marks
Note: If you don’t have graph paper, then make the axes with scale preferably on a plane paper and plot the points.
Q 1: Fill in the blanks. (1 mark each x 13 = 13 marks)
- If ________, then (x,y) is not equal to (y,x).
- The coordinates of origin are _________.
- To locate the position of an object or a point in a plane, we need ___________ _____________ lines.
- On a graph paper, the plane is called _________________ or ________________ plane.
- The two lines, XOX’ and YOY’ are called _____________ and ____________.
- The coordinate axes divide a plane into _________ parts called ______________.
- The distance of a point from the _____________ is called its y coordinate or _____________.
- The coordinates of a point on y axis are _____________.
- The distance of a point from the _____ axis is called its x coordinate or __________.
- Each point in a plane is represented by an ordered pair of real numbers called the _________________ of that point.
- ___________________ ________________ is the branch of mathematics in which geometric problems are solved through algebra by using the coordinate system.
- The distances measured along OX and OY on graph are taken as _____________.
- The distances measured along OX’ and OY’ on graph are taken as _____________.
Q 2: Plot the following points on a graph paper: (3 marks)
- (1, 5)
- (-5,1)
- (0, -7)
- (6, 0)
- (-2, -7)
- (0, 0)
Q 3: Write down the coordinates of the following points A, B, C, D marked on the graph paper given below. (2 marks)
Q 4: In which quadrants/axis do the following given points lie? (3 marks)
- (-2, -6)
- (0, 5)
- (6, -7)
- (-7, 0)
- (-3, 5)
- (5, 5)
Q 5: Plot the points (-1, 0), (1, 0), (1, 1), (0, 2), (-1, 1) and join them in order. What figure do you get? (3 marks)
Q 6: Plot the following pairs of numbers as points in the Cartesian plane. Use the scale 1 cm = ½ unit on the axes. (3 marks)
x | -3 | 0 | -1 | 3 | 2 | -2 |
y | 4 | -3.5 | -2.5 | 3 | -4 | -4 |
Q 7: How will you locate the position of a cylindrical glass on a rectangular table? Explain in brief. (2 marks)
Q 8: Who invented the idea of placing two perpendicular lines to each other on a plane and locating points on the plane by referring them to these lines? (1 mark)
Q 9: If the ordinate of a point is 5 and its abscissa is 6, then what are the coordinates of the point? (1 mark)
Q 10: Draw XOX’ and YOY’ intersecting each other at origin. Show the signs of the coordinates in the quadrants formed.
(2 marks)
