Class 9 Exam  >  Class 9 Notes  >  RD Sharma Solutions for Class 9 Mathematics  >  RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics PDF Download

Q1) Plot the following points on the graph paper:

(i) (2,5)
 (ii) (4,-3)
 (iii) (-5,-7)
 (iv) (7,-4)
 (v) (-3,2)

(vi) (7,0)
 (vii) (-4,0)
 (viii) (0,7)
 (ix) (0,-4)
 (x) (0,0)

Solution:

The given points are,

A (2,5), B (4,-3), C (-5,-7), D (7,-4), E (-3,2),

F (7,0), G (-4,0), H (0,7), I (0,-4), J (0,0)

Let X ‘OX and Y ‘ OY be the coordinate axes.

(i) Here for the given point the abscissa is 2 units and ordinate is 5 units. The point is in the first quadrant. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(ii) Here for the given point the abscissa is 4 units and ordinate is -3 units. The point is in the fourth quadrant. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(iii) Here for the given point the abscissa is -5 units and ordinate is -7 units. The point is in the third quadrant. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(iv) Here for the given point the abscissa is 7 units and ordinate is -4 units. The point is in the fourth quadrant. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(v) Here for the given point the abscissa is -3 units and ordinate is 2 units. The point is in the second quadrant. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(vi) Here for the given point the abscissa is 7 units and ordinate is 0 units. The point is on the x-axis. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(vii) Here for the given point the abscissa is -4 units and ordinate is 0 units. The point is on the x-axis. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(viii) Here for the given point the abscissa is 0 units and ordinate is 7 units. The point is on the y-axis. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(ix) Here for the given point the abscissa is 0 units and ordinate is -4 units. The point is on the y-axis. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

(x) Here for the given point the abscissa is 0 units and ordinate is 0 units.

The point is basically intersection of the coordinate axis. So it will look like as shown in the following figure.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Q.2) Write the coordinates of each of the following points marked in the graph paper.

RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics

Solution:

A (3,1), B (6,0), C (0,6), D (-3,0), E (-4,3), F (-2,-4), G (0,-5), H (3,-6), P (7,-3), Q (7,6)

1) The distance of point A from y-axis is 3 units and that of from x-axis is 1 units. Since A lies in the first quadrant, so its coordinates are (3,1).

2) The distance of point B from y-axis is 6 units and that of from x-axis is 0 units. Since B lies on x-axis, so its coordinates are (6,0).

3) The distance of point C from y-axis is 0 units and that of from x-axis is 6 units. Since C lies on y-axis, so its coordinates are (0,6).

4) The distance of point D from y-axis is -3 units and that of from x-axis is 0 units. Since D lies on x-axis, so its coordinates are (-3,0).

5) The distance of point E from y-axis is -4 units and that of from x-axis is 3 units. Since E lies in the second quadrant, so its coordinates are (-4,3).

6) The distance of point F from y-axis is -2 units and that of from x-axis is -4 units. Since F lies in the third quadrant, so its coordinates are (-2,-4).

7) The distance of point G from y-axis is 0 units and that of from x-axis is -5 units. Since G lies on y-axis, so its coordinates are (0,-5).

8) The distance of point H from y-axis is 3 units and that of from x-axis is -6 units. Since H lies in the fourth quadrant, so its coordinates are (3,-6).

9) The distance of point P from y-axis is 7 units and that of from x-axis is -3 units. Since P lies in the fourth quadrant, so its coordinates are (7,-3).

10) The distance of point Q from y-axis is 7 units and that of from x-axis is 6 units. Since Q lies in the first quadrant, so its coordinates are (7,6).

 

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FAQs on RD Sharma Solutions Ex-11.1, Coordinate Geometry, Class 9, Maths - RD Sharma Solutions for Class 9 Mathematics

1. What is the importance of coordinate geometry in mathematics?
Ans. Coordinate geometry is important in mathematics as it provides a way to study the properties and relationships of geometric figures using algebraic methods. It helps in solving problems related to lines, curves, and shapes by representing them as equations or coordinates on a graph.
2. How can coordinate geometry be used in real-life applications?
Ans. Coordinate geometry has various real-life applications. It is used in navigation systems to determine the location of a vehicle or person. It is also used in computer graphics and animation to create realistic images. Additionally, it is used in architecture and engineering to design structures and analyze their properties.
3. What are the different types of coordinates used in coordinate geometry?
Ans. In coordinate geometry, there are primarily two types of coordinates used - Cartesian coordinates and polar coordinates. Cartesian coordinates consist of two numbers (x, y) representing the position of a point on a plane. Polar coordinates consist of a radius (r) and an angle (θ) representing the position of a point in a polar coordinate system.
4. How are equations of lines represented in coordinate geometry?
Ans. Equations of lines in coordinate geometry are represented in the form of linear equations. The general equation of a line is y = mx + c, where m represents the slope of the line and c represents the y-intercept. By knowing the slope and intercept, one can easily plot and understand the properties of a line.
5. How can coordinate geometry be used to calculate the distance between two points?
Ans. The distance between two points in coordinate geometry can be calculated using the distance formula. The formula is given as: d = √((x2 - x1)^2 + (y2 - y1)^2) Where (x1, y1) and (x2, y2) are the coordinates of the two points. By substituting the values into the formula, the distance between the two points can be determined.
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