Question 1 :
Plot the following points in the coordinate system and identify the quadrants P (–7, 6), Q (7, –2), R (–6, –7), S (3, 5) and T (3, 9)
Solution :
Point in quadrants 1st 2nd 3rd 4th |
General form (x, y) (-x, y) (-x, -y) (x, -y) |
P(-7, 6) lies in IInd quadrant
Q(7, -2) lies in Ist quadrant
R(-6, -7) lies in IIIrd quadrant
S(3, 5) lies in Ist quadrant
T(3, 9) lies in Ist quadrant
Question 2 :
Write down the abscissa and ordinate of the following from (i) P (ii) Q (iii) R (iv) S
Solution :
abscissa = The point on the x-axis
P (-4, 4)
Q (3, 3)
R (4, -2) and S (-5, -3).
Question 3 :
Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?
(i) (–5,3) (–1,3) (0,3) (5,3)
Solution :
Hence the given points are collinear. By joining the point, we get the straight line which is parallel to x-axis.
(ii) (0,–4) (0,–2) (0,4) (0,5)
Solution :
A straight line lies on y-axis.
Question 4 :
Plot the following points in the coordinate plane. Join them in order. What type of geometrical shape is formed?
(i) (0,0) (–4,0) (–4,–4) (0,–4)
Solution :
Let the given points be A (0,0) B(–4,0) C (–4,–4) and D(0,–4)
By joining the given points, we get a square.
(ii) (–3,3) (2,3) (–6,–1) (5,–1)
By joining the given points, we get the shape trapezium.
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