Write the coordinates of each of the points P, Q, R, S, T and O from the Fig. 3.5.
\(P(1,1)\), \(Q(-3,0)\), \(R(-3,-2)\), \(S(2,1)\), \(T(4,-2)\), \(O(0,0)\)
Plot the following points and write the name of the figure obtained by joining them in order:
\(P(-3,2)\), \(Q(-7,-3)\), \(R(6,-3)\), \(S(2,2)\)
Trapezium
Plot the points \((x,y)\) given by the following table:
| \(x\) | 2 | 4 | -3 | -2 | 3 | 0 |
|---|---|---|---|---|---|---|
| \(y\) | 4 | 2 | 0 | 5 | -3 | 0 |
Plot the following points and check whether they are collinear or not:
(i) \((1,3)\), \((-1,-1)\), \((-2,-3)\)
(ii) \((1,1)\), \((2,-3)\), \((-1,-2)\)
(iii) \((0,0)\), \((2,2)\), \((5,5)\)
(i) Collinear
(ii) Not collinear
(iii) Collinear
Without plotting the points indicate the quadrant in which they will lie, if:
(i) ordinate is 5 and abscissa is -3
(ii) abscissa is -5 and ordinate is -3
(iii) abscissa is -5 and ordinate is 3
(iv) ordinate is 5 and abscissa is 3
(i) II
(ii) III
(iii) II
(iv) I
In Fig. 3.6, LM is a line parallel to the y-axis at a distance of 3 units.
(i) What are the coordinates of the points P, R and Q?
(ii) What is the difference between the abscissa of the points L and M?
(i) \(P(3,2)\), \(R(3,0)\), \(Q(3,-1)\)
(ii) 0
In which quadrant or on which axis each of the following points lie?
\((-3,5)\), \((4,-1)\), \((2,0)\), \((2,2)\), \((-3,-6)\)
II, IV, x-axis, I, III
Which of the following points lie on y-axis?
A \((1,1)\), B \((1,0)\), C \((0,1)\), D \((0,0)\), E \((0,-1)\), F \((-1,0)\), G \((0,5)\), H \((-7,0)\), I \((3,3)\)
C, D, E, G
Plot the points \((x,y)\) given by the following table. Use scale 1 cm = 0.25 units.
| \(x\) | 1.25 | 0.25 | 1.5 | -1.75 |
|---|---|---|---|---|
| \(y\) | -0.5 | 1 | 1.5 | -0.25 |
A point lies on the x-axis at a distance of 7 units from the y-axis. What are its coordinates?
What will be the coordinates if it lies on y-axis at a distance of -7 units from x-axis?
\((7,0)\), \((0,-7)\)
Find the coordinates of the point:
(i) which lies on x and y axes both.
(ii) whose ordinate is -4 and which lies on y-axis.
(iii) whose abscissa is 5 and which lies on x-axis.
(i) \((0,0)\)
(ii) \((0,-4)\)
(iii) \((5,0)\)
Taking 0.5 cm as 1 unit, plot the following points on the graph paper:
A \((1,3)\), B \((-3,-1)\), C \((1,-4)\), D \((-2,3)\), E \((0,-8)\), F \((1,0)\)