Pages

Coordinate Geometry Questions (MCQs)

1.) The points (other than origin) for which abscissa is equal to the ordinate will lie in
(A) I quadrant only 
(B) I and II quadrants
(C) I and III quadrants 
(D) II and IV quadrants

2.) Point (–3, 5) lies in the
(A) first quadrant 
(B) second quadrant
(C) third quadrant 
(D) fourth quadrant

3.) Signs of the abscissa and ordinate of a point in the second quadrant are respectively
(A) +, + 
(B) –, – 
(C) –, + 
(D) +, –

4.) Point (0, –7) lies
(A) on the x –axis 
(B) in the second quadrant
(C) on the y-axis 
(D) in the fourth quadrant

5.) Point (– 10, 0) lies
(A) on the negative direction of the x-axis
(B) on the negative direction of the y-axis
(C) in the third quadrant
(D) in the fourth quadrant

6.) Abscissa of all the points on the x-axis is
(A) 0
(B) 1
(C) 2
(D) any number

7.) Ordinate of all points on the x-axis is
(A) 0
(B) 1
(C) – 1
(D) any number

8.) The point at which the two coordinate axes meet is called the
(A) abscissa
(B) ordinate
(C) origin
(D) quadrant

9.) A point both of whose coordinates are negative will lie in
(A) I quadrant
(B) II quadrant
(C) III quadrant
(D) IV quadrant

10.) Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4)
(A) lie in II quadrant
(B) lie in III quadrant
(C) lie in IV quadrant
(D) do not lie in the same quadrant

11.) If y coordinate of a point is zero, then this point always lies
(A) in I quadrant 
(B) in II quadrant
(C) on x - axis 
(D) on y - axis

12.) If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has
(A) x coordinate = – 5 
(B) y coordinate = 5 only
(C) y coordinate = – 5 only 
(D) y coordinate = 5 or –5

13.) On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
(A) Square 
(B) Rectangle 
(C) Trapezium 
(D) Rhombus

14.) If P(– 1, 1), Q(3, – 4), R(1, –1), S(–2, –3) and T(– 4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant are
(A) P and T 
(B) Q and R 
(C) Only S 
(D) P and R

15.) If the coordinates of the two points are P (–2, 3) and Q(–3, 5), then (abscissa of P)-(abscissa of Q) is
(A) – 5 
(B) 1 
(C) – 1 
(D) – 2

16.) If P (5, 1), Q (8, 0), R (0, 4), S (0, 5) and O (0, 0) are plotted on the graph paper, then the point(s) on the x-axis are
(A) P and R 
(B) R and S 
(C) Only Q 
(D) Q and O

17.) Abscissa of a point is positive in
(A) I and II quadrants 
(B) I and IV quadrants
(C) I quadrant only 
(D) II quadrant only

18.) The points whose abscissa and ordinate have different signs will lie in
(A) I and II quadrants
(B) II and III quadrants
(C) I and III quadrants
(D) II and IV quadrants

19.) The point whose ordinate is 4 and which lies on y-axis is
(A) (4, 0) 
(B) (0, 4)
(C) (1, 4) 
(D) (4, 2)

20.) Which of the points P(0, 3),Q(1, 0), R(0, – 1), S(–5, 0),T(1, 2) do not lie on the x-axis?
(A) P and R only
(B) Q and S only
(C) P, R and T
(D) Q, S and T

21.) The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is
(A) (0, 5) 
(B) (5, 0)
(C) (0, – 5) 
(D) (– 5, 0)

22.) The perpendicular distance of the point P (3, 4) from the y-axis is
(A) 3 
(B) 4
(C) 5 
(D) 7

23.) The perpendicular distance of the point (6, 5) from the x-axis is
(A) 3 
(B) 4
(C) 5 
(D) 6

24.) Write whether the following statements are True or False? Justify your answer

(i) Point (3, 0) lies in the first quadrant.
(ii) Points (1, –1) and (–1, 1) lie in the same quadrant.
(iii) The coordinates of a point whose ordinate is -1/2 and abscissa is 1 are (-1/2, 1).
(iv) A point lies on y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0).

25.) 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.

26.) Abscissa of all the points on the x-axis is any number but ordinate of all points on the x-axis is
(A) any number
(B) 2
(C) 1
(D) 0

27.) If A(-1,1), B(3,-4), C(1,-1), D(-2,-3) and E(-4,4) are plotted on the graph paper, then the point(s) in the fourth quadrants are
(A) B and C
(B) A and E
(C) B and D
(D) A and C

28.) The points in which abscissa and ordinate have different signs will lie in 
(A) I and III Quadrants 
(B) II and IV Quadrants
(C) II and III Quadrants
(D) III and IV Quadrants

29.) Which of the points A(0,3), B(1,0), C(0,-1), D(-5,0), E(1,2) do not lie on the x-axis?
(A) A and D
(B) A, C and E
(C) B, C and E
(D) A and C

30.) Any point on y-axis is of the form 
(A) (0,y)
(B) (y,0)
(C) (0,x)
(D) (y,y)

Answers : 

1.) C
2.) B
3.) C
4.) C
5.) A
6.) D
7.) A
8.) B
9.) C
10.) D
11.) C
12.) D
13.) B
14.) B
15.) B
16.) D
17.) B
18.) D
19.) B
20.) C
21.) C
22.) A
23.) C
24.) (i) F (ii) F (iii) F iv) F
25.) (i) (0,0) (ii) (0,-4) (iii) (5,0)
26.) D
27.) A
28.) B
29.) B
30.) A