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Coordinate Geometry

Short Answer Type

31.

Find the co-ordinates of the points A, B, C, D, E and F. Which of the points are mirror images in

(i) x-axis (ii) y-axis

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32. In which quadrant or on which axis do each of the points (-2, 4), (3, -1),(-1, 0), (1, 2) and (-3, -5) lie ? Verify your answer by locating them on the Cartesian plane.

The point (-2, 4) lies in the II quadrant.
The point (3, -1) lies in the IV quadrant.
The point (-1, 0) lies on the negative x-axis.
The point (1, 2) lies in the I quadrant.
The point (-3, -5) lies in the III quadrant.

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33. Plot the points (x, y) given in the following table on the plane, choosing, suitable units of distance on the axes.

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34. Name the quadrant in which the following points lie (-5, -4), (2, -4), (-7, 6) and (2, 3).

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35. Plot the points A (3, 0), B (3, 3) and C (0, 3) in a Cartesian plane. Join OA, AB, BC and CO. Name the figure so formed and write its one property.

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36.

Plot the following points in the Cartesian plane:

A (5, 0); B (3, 2); C (0, -5)
D (-6, 1); E (-4, -4); F (2, -3)

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37. Plot the points A (1, 3), B (1, -1), C (7, -1) and D (7, 3) in Cartesian plane. Join them in order and name the figure so formed.

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38. Plot the points O(0, 0), B( 16, 0), C( 16, 12) on the graph paper. Join O, B and C. Name the figure.

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39. In figure, ABCD is a rectangle with length 6 cm and breadth 3 cm. O is the mid point of AB. Find the coordinates of A, B, C and D.

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40. Plot the points (2, 3), (-2, 3), (-2, -3) and (2, -3) on a graph sheet. Join these points. Name the figure obtained. Also, find the area of the figure so obtained.

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