3. Coordinate Geometry Class 9 Mathematics NCERT Exemplar Solutions (CBSE)

Chapter 3 : Coordinate Geometry – Class 9 Mathematics NCERT Exemplar Solutions (CBSE Board)

Chapter 3 : Coordinate Geometry

Exercise 3.1

Write the correct answer in each of the following :
1. Point (–3, 5) lies in the
(A) first quadrant (B) second quadrant
(C) third quadrant (D) fourth quadrant
2. Signs of the abscissa and ordinate of a point in the second quadrant are respectively
(A) +, + (B) –, – (C) –, + (D) +, –
3. Point (0, –7) lies
(A) on the x –axis (B) in the second quadrant
(C) on the y-axis (D) in the fourth quadrant
4. 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
5. Abscissa of all the points on the x-axis is
(A) 0 (B) 1
(C) 2 (D) any number
6. Ordinate of all points on the x-axis is
(A) 0 (B) 1
(C) – 1 (D) any number

7. The point at which the two coordinate axes meet is called the
(A) abscissa (B) ordinate (C) origin (D) quadrant
8. A point both of whose coordinates are negative will lie in
(A) I quadrant (B) II quadrant
(C) III quadrant (D) IV quadrant
9. 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
10. 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
11. The points (–5, 2) and (2, – 5) lie in the
(A) same quadrant (B) II and III quadrants, respectively
(C) II and IV quadrants, respectively (D) IV and II quadrants, respectively
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. In Fig. 3.1, coordinates of P are
(A) (– 4, 2) (B) (–2, 4)
(C) (4, – 2) (D) (2, – 4)
20. In Fig. 3.2, the point identified by the coordinates (–5, 3) is
(A) T (B) R
(C) L (D) S
21. 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)
22. 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
23. 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)
24. The perpendicular distance of the point P (3, 4) from the y-axis is
(A) 3 (B) 4
(C) 5 (D) 7

EXERCISE 3.4

1. Points A (5, 3), B (– 2, 3) and D (5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.

2. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.

3. Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinates of the point R such that PQRS is a square.

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