CBSE Class 9 Mathematics Coordinate Geometry Worksheet Set 02

Question. 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

Answer: A

Question. Signs of the abscissa and ordinate of a point in the second quadrant are respectively
(a) +, +
(b) –, –
(c) –, +
(d) +, –

Answer: C

Question. Point (0, –7) lies
(a) on the x–axis
(b) in the second quadrant
(c) on the y-axis
(d) in the fourth quadrant

Answer: C

Question. Abscissa of all the points on the x-axis is
(a) 0
(b) 1
(c) 2
(d) any number

Answer: D

Question. 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

Answer: C

Question. Ordinate of all points on the x-axis is
(a) 0
(b) 1
(c) – 1
(d) any number

Answer: A

Question. Point (–3, 5) lies in the
(a) first quadrant
(b) second quadrant
(c) third quadrant
(d) fourth quadrant

Answer: B

Question. The point at which the two coordinate axes meet is called the
(a) abscissa
(b) ordinate
(c) origin
(d) quadrant

Answer: C

Question. 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

Answer: D

Question. 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

Answer: D

Question. A point both of whose coordinates are negative will lie in
(a) I quadrant
(b) II quadrant
(c) III quadrant
(d) IV quadrant

Answer: C

Question. 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

Answer: B

Question. 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

Answer: B

Question. The perpendicular distance of the point P (3, 4) from the y -axis is
(a) 3
(b) 4
(c) 5
(d) 7

Answer: A

Question. 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

Answer: D

Question. 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

Answer: C

Question. 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

Answer: B

Question. 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 points in the fourth quadrant are
(a) P and T
(b) Q and R
(c) Only S
(d) P and R

Answer: B

Question. The points whose abscissa and ordinate have different signs will lie in
(a) I and II quadrants
(b) II and IV quadrants
(c) I quadrant Only
(d) II and IV quadrants only

Answer: D

Question. 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)

Answer: B

Question. 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

Answer: C

Question. The point which lies on y-axis at a distance of 5 units in the negative direction of yaxis is
(a) (0, 5)
(b) (5, 0)
(c) (0, – 5)
(d) (– 5, 0)

Answer: C

Question. 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 coordinate are (2, 0).
(v) (–1, 7) is a point in the II quadrant.
Answer. (i) The point (3, 0) has abscissa 3, the x-coordinate and ordinate is 0. If the ordinate of a point is zero, the point lies on the x-axis.
Hence, the given statement is false.
(ii) The point (1, –1) lies in IV quadrant and the point (–1, 1) lies in II quadrant.
Hence, the given statement is false.
(iii) We know that in the coordinates of a point, the abscissa comes first and then the ordinate. So, the coordinate of a point are (1,-1/2) and not (-1/2,1)
(iv) Any point which lies on the y-axis is of the form (0, y).
Hence, the given statement is false.
(v) In the II quadrant, signs of abscissa and ordinate are –, + respectively.
Hence, the statement that (–1, 7) is a point in the II quadrant is a true statement.

Question. 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
Answer. (i) In the point (–3, 5) abscissa is negative and ordinate is positive, so it lies in the second quadrant.
(ii) In the point (–5, –3) abscissa and ordinate both are negative, so it lies in the third quadrant.
(iii) In the point (–5, 3) abscissa is negative and ordinate is positive, so it lies in the second quadrant.
(iv) In the point (3, 5) abscissa and ordinate both are positive, so it lies in the first quadrant.