Mathematics Question Bank SA - 1 - CBSE (CCE)
3 COORDINATE GEOMETRY
EXERCISE 3.1
Topics :
Cartesian System.
Plotting a Point in the Plane if its Coordinates are given.
2 MARKS
1.
Plot two points A(-3, 3) and B(3, -3) on the graph paper. Draw the segment AB and
find its mid-point.
(2014)
Ans.
Y
4
(-3, 3)A
•
3
2
1
XI
-4
-3
-2
•
-1 0
-1
1
2
3
4
•
B(3, -3)
X
-2
-3
-4
YI
mid-point of AB is (0, 0).
2.
If a point P(2, 3) lies in first quadrant, then what will be the co-ordinates of a point Q
opposite to it in fourth quadrant having equal distance from X-axis?
(2014)
Ans. Q (2, -3)
3.
Write coordinates of two points on X-axis and two points on Y-axis which are at equal
distances from the origin.
(2014)
Ans. Points on X-axis : ( 3, 0)(-3, 0)
Points on Y-axis : ( 0, 3)(0, -3)
4.
If a point P (2, 3) lies in first quadrant, then what will be the co-ordinates of a point Q
opposite to it in fourth quadrant having equal distance from X-axis?
(2014)
Ans. (2, -3)
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Mathematics Question
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5.
In which quadrant will the point lie,if
(i) the ordinate is 2 and the abscissa is -3 ?
(ii) the abscissa is -4 and the ordinate is -2 ?
(iii) the ordinate is 3 and the abscissa is 4 ?
(iv) the ordinate is 3 and the abscissa is -2 ?
(2014)
Ans. (i) IInd quadrant (ii) IIIrd quadrant
(iii) Ist quadrant (iv) IInd quadrant
6.
In the figure, give coordiantes of points A, B, C and D.
•
Y
(2014)
C
•
D•
•B
•
XI
X
A
YI
Ans.A(4, 0), B(8, 4), C(4, 8), D
(0, 4)
7.
Write ordinates of following points: (3, 4), (4, 0), (0, 4), (5, -3).
(2014)
Ans. Ordinate of (3, 4) is 4.
Ordinate of (4, 0) is 0.
Ordinate of (0, 4) is 4.
Ordinate of (5, -3) is -3.
8.
Plot the points (2, -2) amd (4, 4). Draw a straight line passing through these two
points. Plot another point (-4, 6). Find if it lies on the straight line.
(2014)
Ans.
Y
(-4, 6)C
6
5
B(4, 4)
•
4
3
2
1
X
I
-4
-3
-2
-1 0
1
2
3
•
A(2, -2)
4
X
-1
-2
-3
YI
-131-
No (-4, 6) does not lie on the line AB.
TEACHERS FORUM
Mathematics Question Bank SA - 1 - CBSE (CCE)
9.
Which of the points A(2, 2), B(2, 0), C(0, 2), D(0, 0), E(-2, 0), F(0, -2), G(4, 0) and H(0,
7) lie on the
(i) X-axis (ii) Y-axis
(2014)
Ans. (i) B(2, 0), E(-2, 0), G(4, 0)
(ii) C(0, 2), F(0, -2), H(0, 7)
10. In the figure the co-ordinates of certain vertices are missing. Find them.
(2013)
Y
C(7, 5)
D(4, 2)
O
A
X
B
Ans. Co-ordinates of A is (4, 0) and B is (7, 0).
11. The perpendicular distance of a point from the X-axis is 4 units and the perpendicular
distance from the Y-axis is 5 units. Write the co-ordinates of such a point if it lies in:
(i) I quadrant
(ii) II quadrant
Ans.
(iv) IV quadrant (2014)
(iii) III quadrant
Y
(-5, 4)
(5, 4)
X
(-5, -4)
(5, -4)
12. Plot the following points on a graph paper:
(i) (3, -5)
(ii) (-5, -2)
(iii) (4, 0)
(iv) (-6, 1)
(2013)
Ans.
Y
2
(-6, 1)
•
XI
1
-6 -5
-4
•
(-5, -2)
-3 -2
(4, 0)
-1 0
-1
1
2 3
4
5
X
-2
-3
-4
• (3, -5)
-5
YI
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