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.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com