# 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)