Class 9 Maths
Coordinate Geometry
Question 1:
From the given figure, complete the following statements:
(i) The coordinates of B are (_ _, _ _).
(ii) The coordinates of M are (_ _, _ _).
(iii) The coordinates of L are (_ _, _ _).
(iv) The coordinates of S are (_ _, _ _).
Question 2:
Fill the following:
“The coordinates of a point are of the form (+, +) in the first quadrant. Similarly (_, _) in the second quadrant, (_, _) in the third quadrant and (_, _) in the fourth quadrant, where + denotes a positive real number and – denotes a negative real number.”
Question 3:
Fill the following:
“The distance of a point from the y - axis is called its ____, or _____, and the distance of the point from the x-axis is called its ____, or _____.”
Question 4:
The coordinates of a point on the x-axis are of the form (__, __) and that of the point on the y-axis are (__, __).
Question 5:
The coordinates of the origin is
(a) (x, 0)
(b) (0, y)
(c) (x, y)
(d) (0, 0)
Question 6:
The horizontal line in Cartesian system is called the ____, and the vertical line is called the _____.
Question 7
Locate the points (0, 5), (5, 2), (–3, –5), and (5, –3) in the Cartesian plane.
Question 8:
Without plotting the points indicate the quadrant in which they will lie, if
(i) the ordinate is 5 and abscissa is – 3
(ii) the abscissa is – 5 and ordinate is – 3
(iii) the abscissa is – 5 and ordinate is 3
(iv) the ordinate is 5 and abscissa is 3
Question 9:
If the coordinates of a point B (3, -2) and then signs of both coordinates of point B are interchanged, then it will lie in which quadrant?
Question 10:
Find distances of points C(-3, -2) and D(5, 2) from x-axis and y-axis.
Question 11:
Find the values of x and y, if two ordered pairs (x – 3, – 6) and (4, x + y) are equal.
Question 12:
In the given figure, ABCD is a rectangle with length 6 cm and breadth 3 cm. O is the mid-point of AB. Find the coordinates of A, B, C and D.
Question 13:
A point lies on x-axis at a distance of 9 units from y-axis. What are its coordinates? What will be the coordinates of a point, if it lies on y-axis at a distance of -9 units from x-axis?
Question 14:
Write the shape of the quadrilateral formed by joining (1, 1), (6, 1), (4, 5) and (3, 5) on graph paper.
Question 15:
Write the mirror image of the point (2, 3) and (-4, -6) with respect to x-axis.
Question 16:
Which of the following points belong to the x- axis?
(a) (2, 0) (b) (3, 3) (c) (0, 1) (d) (-2, 0)
Question 17:
The positive point of Abscissa lies in
(a) I quadrant
(b) I and II quadrants
(c) II quadrant only
(d) I and IV quadrants
Question 18:
Points (2, 3), (1, -3), (-3, -3);
(a) First quadrant
(b) Fourth quadrant
(c) Third quadrant
(d) Do not lie in the same quadrant
Question 19:
The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is
a. (5, 0)
b. (0, 5)
c. (-5, 0)
d. (0, -5)
Question 20:
If the points A(2, 0), B(-6, 0) and C(3, a – 3) lie on the x-axis, then what is the value of a?
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