NCERT Solutions for Class 9 Maths Chapter 4: Coordinate Geometry
Q. Point (– 1, 7) lies in the II quadrant. Whether this statement is true or false. Justify your answer.
Ans. Yes, this point lies in II quadrant, As x-coordinate is negative and y-coordinate is positive.
Q. What is the coordinate of the point, which lies on both X-and Y-axis ?
Ans. The point which lies on X-and Y-axis both is the origin.
Q. Which of the following points lie on the Y-axis? A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(– 1, 0), F(0, – 1), G(4, 0), H(0, 7)
Ans. C(0, 1), D(0, 0), F(0, – 1) and H(0, 7) lie on the Y-axis.
Q. Answer the following questions :
(i) What is the name of horizontal and vertical lines drawn to determine the position of any point in the cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
Ans. (i) The name of horizontal and vertical lines are X-axis and Y-axis.
(ii) The name of each part is a quadrant.
Q. Write the coordinates of each of the point P, Q, R, S from the given figure.
Ans. Coordinates of P(1, 1)
Coordinates of Q(– 3, 0)
Coordinates of R(– 2, – 2)
Coordinates of S(2, 1)
Q. A point lies on the X-axis at a distance of 7 units from the Y-axis. What are its coordinates? What will be the coordinates if it lies on Y-axis at a distance of – 7 units from X-axis?
Ans. The coordinate of the point is (7, 0). If the point lies on Y-axis at a distance of – 7 from X-axis is (0, – 7).
Q. See figure and write the following :
(i) The coordinates of B
(ii) The coordinates of C
(iii) The point identified by the coordinates (– 3, – 5)
(iv) The point identified by the coordinates (2, – 4)
(v) The abscissa of the point D
(vi) The ordinate of the point H
(vii) The coordinates of the point L (viii) The coordinates of the point M.
Ans. (i) The coordinates of B(– 5, 2)
(ii) The coordinates of C(5, – 5)
(iii) The point (– 3, – 5) is E (iv) The point (2, – 4) is G
(v) For the point D, abscissa is 6
(vi) For the point H, ordinate is – 3
(vii) The coordinates of L(0, 5)
(viii) The coordinates of M(– 3, 0)