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Question-1

Plot the following points in rectangular coordinates system. In which quadrant do they lie?
(i) (4, 5)            (ii) (4, -5)         (iii) (-10, 2)
(iv) (-10, -2)      (v) (-7, 5)         (vi) (9, -3)

Solution:

(i) First

(ii) Fourth

(iii) Second

(iv) Third

(v) Second

(vi) Fourth

Question-2

Plot the points (-1, 0), (1, 0), (1, 1), (0, 2), (-1, 1) and join them in order. What figure do you get?

Solution:


The figure so formed is a pentagon.

Question-3

In which quadrant will the point lie, if

(i) the ordinate is 3 and the abscissa is -4?

(ii) the abscissa is -5 and the ordinate is -3?

(iii) the ordinate is 4 and the abscissa is 5?

(iv) the ordinate is 4 and the abscissa is -4?

Solution:
(i) The point whose ordinate is 3 and the abscissa is -4 lies in II Quadrant.

(ii)
The point whose abscissa is -5 and the ordinate is -3 lies in III Quadrant.

(iii) The point whose ordinate is 4 and the abscissa is 5 lies in I Quadrant.

(iv) The point whose ordinate is 4 and the abscissa is -4 lies in II Quadrant.

Question-4

Draw the quadrilateral whose vertices are
 (i) (1, 1), (2, 4), (8, 4) and (10, 1)
 (ii) (-2, -2), (-4, 2), (-6, -2) and (-4, -6).
Name the type of quadrilateral so formed in each case.

Solution:


The quadrilateral so formed is a trapezium.

(ii) (-2, -2), (-4, 2), (-6, -2) and (-4, -6).


The quadrilateral so formed is a rhombus.




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