Mathematics - Co-ordinate Geometry
Exam Duration: 45 Mins Total Questions : 30
What is the intersection of X and Y axes called?
- (a)
Origin
- (b)
Null point
- (c)
Common point
- (d)
Ordinate
Where does the point (-2,0) lie?
- (a)
On positive X-axis.
- (b)
On positive Y-axis
- (c)
On negative X-axis.
- (d)
On negative Y-axis.
Where does the point (0, -2) lie?
- (a)
On positive X-axis.
- (b)
On positive Y-axis.
- (c)
On negative X-axis.
- (d)
On negative Y-axis.
Where does the point (3,0) lie?
- (a)
On positve X-axis.
- (b)
On positive Y-axis.
- (c)
On negative X-axis.
- (d)
On negative Y-axis.
The points P(3, p) and Q(q, 5) represent the same point R. What are the respective values of p and q?
- (a)
5 and 3
- (b)
-5 and 3
- (c)
3 and 5
- (d)
3 and-5
Observe the given coordinate plane and answer the following questions.
What are the coordinates of point D?
- (a)
(-4, -1)
- (b)
(4,2)
- (c)
(0,4)
- (d)
(-1,5)
Observe the given coordinate plane and answer the following questions.
Which point is represented by the ordered pair (-3, -1)?
- (a)
P
- (b)
Q
- (c)
R
- (d)
S
Identify the co-ordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis.
- (a)
(0,4)
- (b)
(4,0)
- (c)
(0, -4)
- (d)
(-4,0)
In which of the following quadrants ordinate of a point negative?
- (a)
III and IV quadrants
- (b)
III quadrant only
- (c)
II and III quadrants
- (d)
IV quadrant only
Which of the following points lie on x-axis?
A(0,2),B(0,6),C(-3,0),D(0,-3),E(0,4),F(6,0),G(3,0)
- (a)
C, E and F
- (b)
D, E and B
- (c)
C, H and F
- (d)
C, H and B
What is the number of quadrants of a Cartesian plane?
- (a)
1
- (b)
2
- (c)
3
- (d)
4
Points A(-a, -a), B(a,-a), C(a,a) and D(x,y) form a square. In which of the following quadrants does the point D lie?
- (a)
II
- (b)
III
- (c)
I
- (d)
IV
What is the ordinate of a point on the y-axis?
- (a)
A positive number
- (b)
A negative number
- (c)
0
- (d)
All the above
Identify the correct statement.
- (a)
Ordinate is negative to the right of the origin.
- (b)
Abscissa is negative to the left of the origin.
- (c)
Ordinate is positive below x-axis.
- (d)
Abscissa is negative above x-axis.
Which figure is formed by joining points O(0,0), B(16,0)and C(16,12)on a graph paper?
- (a)
A triangle
- (b)
A square
- (c)
A right-angled triangle
- (d)
A line
Which of the following represents the point (-2, 5)?
- (a)
Moving 2 units towards right and 5 units upwards.
- (b)
Moving 2 units towards left and 5 units upwards.
- (c)
Moving 2 units towards right and 5 units downwards.
- (d)
Moving 2 units towards left and 5 units downwards.
Which of the following graph represents the point P(-a, b) where a < 0, b < 0?
- (a)
- (b)
- (c)
- (d)
The perpendicular distance of a point from the x-axis is 4 units and its perpendicular distance from the y-axis is 5 units. What are the coordinates of such a point if it lies in the II Quadrant?
- (a)
(-4,5)
- (b)
(-5,4)
- (c)
(-4, -5)
- (d)
(5,-4)
(2, 1) is a point, which belongs to the line ________.
- (a)
x = Y
- (b)
Y = x + 1
- (c)
2y = x
- (d)
xy = 1
One set of ordered pair which belongs to a straight line represented by an equation y = 2x - 1 is _________.
- (a)
(1,1)
- (b)
(2,1)
- (c)
(1,2)
- (d)
(3,1)
If (x + 3, 5) = (2, 2 - y) then the values of the x and y respectively are
- (a)
5,3
- (b)
-1,-3
- (c)
0, -3
- (d)
1, 3
The point (-5, 6) lies in
- (a)
1st quadrant
- (b)
IInd quadrant
- (c)
lIIrd quadrant
- (d)
IVth quadrant
The point at which the two coordinate axes meet is called_____.
- (a)
Abscissa
- (b)
Ordinate
- (c)
Origin
- (d)
Quadrant
The signs of abscissa and ordinate of a point in quadrant II are respectively_____.
- (a)
(+, -)
- (b)
(-, +)
- (c)
(-, -)
- (d)
(+, +)
Two points having same abscissa but different ordinates lie on________.
- (a)
x-axis
- (b)
y-axis
- (c)
A line parallel to y-axis
- (d)
A line parallel to x-axis
Study the graph and answer the following questions.
The coordinate of point S are _______.
- (a)
(4, 5)
- (b)
(-5,-4)
- (c)
(-4, -5)
- (d)
(5, 4)
The signs of the abscissa and ordinate of a point in the fourth quadrant respectively are_______
- (a)
+, +
- (b)
-, -
- (c)
+, -
- (d)
-, +
State 'T' for true and 'F' for false.
(i) Origin is the only point which lies on both the axes.
(ii) The point (2, -2) and point (-2, 2) lies in the same quadrant.
(iii) A point lies on y-axis at a distance 2 units from x-axis then it's coordinates are (2, 0).
(iv) Abscissa of a point is positive in I quadrant and also in II quadrant.
- (a)
i ii iii iv F T F T - (b)
i ii iii iv T F F F - (c)
i ii iii iv F T T F - (d)
i ii iii iv T F T F
Fill in the blanks.
(i) Point B is 3 spaces right and one space above from the point A(-1, -2). So point B lies in quadrant P.
(ii) Point B is 40 spaces left and 0.02 spaces above from the point A(20, 0.18). So point B lies in quadrant Q.
(iii) Point B is 15 spaces right and 15 spaces below from the point A (-15, 0). So, coordinate of point Bare R.
(iv) A man moves 30 metres towards North and then moves 50 metres towards South and finally 10 metres towards East. Considering his initial position at origin, the coordinate of his final destination are S.
- (a)
P Q R S II I (0, 15) (-10, 20) - (b)
P Q R S IV II (0,-15) (10, - 20) - (c)
P Q R S II IV (10,-20) (0, - 15) - (d)
P Q R S I II (0,15) (10,20)
In the given figure, PQRS is a rhombus whose diagonal PR and OS are along coordinate axis and PR = 12 units and QS = 6 units. Now, if T is a point which is 5 spaces right and 2 spaces above S. Find:
(i) sum of abscissae of P and T.
(ii) sum of ordinates of 0, Rand T.
- (a)
i ii -1 2 - (b)
i ii 1- 2 - (c)
i ii 1 2 - (d)
i ii -1 -2