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Nội dung text Class 9 Mathematics Chapter 3 Coordinate Geometry.pdf


Coordinate Geometry DPP-01 [Topic: The Cartesian System] Very Short Answer Type Questions 1. Where do the following points lie on the Cartesian plane? (i) (2,0) (ii) (−5, −7) (iii) (0, −5) (iv) (6,3) (v) �0, 1 2 � (vi) (−3,4) 2. Write any two points lying on the positive direction of yy-axis. 3. In which quadrant do the point (−2,5) lie? 4. A point has both the coordinates negative, where does it lie? 5. The point (aa, bb) lies in the IV quadrant. Find which of aa or bb is greater? 6. If the coordinates of two points are P(−2,3) and Q(−3,5), then find: Abscissa of P − Abscissa of Q 7. Find the perpendicular distance of the point P(4,6) from xx-axis. 8. Where does a point lie in the Cartesian plane if its ordinate is -3 and abscissa is 2 ? 9. A policeman and a thief are equidistant from a jewel box. Upon considering jewel box as origin, the position of policeman is (0,5). If the abscissa of the position of thief is zero, then write the co-ordinates of the position of thief. Short Answer Type Questions-I 10. Give names of distances of a point from xx-axis and yy-axis. 11. The perpendicular distance of a point from xx-axis is 4 units and the perpendicular distance from the yy-axis is 5 units. Write the coordinates of such a point if it lies in: (i) I quadrant (ii) II quadrant (iii) III quadrant (iv) IV quadrant 12. On which axes the following points lie? (0,4), (−5,0), (5,0) and (0, −3) 13. In the given figure of a circle, write the coordinates of the points where circle meets the axes.
14. Write the coordinates of the points X, Y, Z and W from the figure. Short Answer Type Questions-II 15. Write the coordinates of a point: (i) whose ordinate is -5 and which lies on yy-axis. (ii) which lies on xx and yy axes both. (iii) whose abscissa is -3 and which lies on xx-axis. 16. Mark the points AA(2,2),BB(2, −2), CC(−2, −2) and DD(−2,2) on a graph paper and join these points in order. Identify the figure so obtained. Also find the area of the figure. Long Answer Type Questions 17. See given figure and write the following: (i) Coordinates of point A (ii) Abscissa of point D (iii) The point whose coordinates are (5,4) (iv) Coordinates of point C.
18. Write the coordinates of the points AA, BB, CC,DD, EE, FF, GG, HH and I from the graph. 19. From given figure, find the following: (i) Coordinates of point C, (ii) The point identified by the coordinates (−3, −7). (iii) The abscissa of the point E. (iv) The ordinate of the point E. (v) Coordinates of point O. (vi) The quadrant in which point G lies. (vii) The perpendicular distance of the point A from the xx-axis. (viii) The perpendicular distance of the point B from the yy-axis.

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