# Frank solutions for Class 9 Maths ICSE chapter 28 - Coordinate Geometry [Latest edition]

#### Chapters ## Chapter 28: Coordinate Geometry

Exercise 28.1Exercise 28.2
Exercise 28.1

### Frank solutions for Class 9 Maths ICSE Chapter 28 Coordinate Geometry Exercise 28.1

Exercise 28.1 | Q 1

Find the value of 'a' and 'b' if
a. (a + 2,5 + b) = (1, 6)
b. (2a + b, a - 2b) = (7, 6)

Exercise 28.1 | Q 2

State the quadrant in which each of the following point lies: A(-4, 3), B(2, -5), C(-5, -3), M(4, 8), P(-1, 9) and Z(4, -5)

Exercise 28.1 | Q 3

State the axis on which the following points lie: J(0, -7), M(5, 0), P(-4, 0), R(0, 6) and W(2, 0)

Exercise 28.1 | Q 4.1

Find the co-ordinates of points whose: Abscissa is 6 and ordinate is 2

Exercise 28.1 | Q 4.2

Find the co-ordinates of points whose: Abscissa is 0 and ordinate is -3

Exercise 28.1 | Q 4.3

Find the co-ordinates of points whose: Abscissa is 5 and ordinate is -1

Exercise 28.1 | Q 4.4

Find the co-ordinates of points whose: Abscissa is -2 and ordinate is 0

Exercise 28.1 | Q 4.5

Find the co-ordinates of points whose: Abscissa is -4 and ordinate is -7

Exercise 28.1 | Q 4.6

Find the co-ordinates of points whose: Abscissa is 0 and ordinate is 0

Exercise 28.1 | Q 4.7

Find the co-ordinates of points whose: Abscissa is -7 and ordinate is 4

Exercise 28.1 | Q 5

Plot the following points on the graph paper: P(2, 5), Q(4, 0), R(0, 7), S(-3, 5), T(4, -4), U(0, -2) and V(-1, -4)

Exercise 28.1 | Q 6

Plot the points O (0, 0), P (6, 0) and R (0, 5) on a graph. Find the coordinates of the point Q such that OPQR is a rectangle.

Exercise 28.1 | Q 7

Plot the points A (3, 4) and C (-3, -2) on a graph. Find the coordinates of the point B and D such ABCD is a square. Also find the area of the square.

Exercise 28.1 | Q 8

Plot the points (-2, 3), (3, 3), (5, -2) and (-5, -2) on a graph and join them in order. Name the figure you get.

Exercise 28.1 | Q 9

Find if the following points are collinear or not by using a graph:
(i) (-2, -1), (0, 3) and (1, 5)
(ii) (1, 3), (-2, -4) and (3, 5)
(iii) (2, -1), (2, 5) and (2, 7)
(iv) (4, -1), (-5, -1) and (3, -1)

Exercise 28.1 | Q 10.1

In each of the following, find the coordinates of the point whose abscissa is the solution of the first equation and ordinate is the solution of the second equation.

5 + 2x = 9: 3(1)/(2)y + 1 = 12 - 3y

Exercise 28.1 | Q 10.2

In each of the following, find the coordinates of the point whose abscissa is the solution of the first equation and ordinate is the solution of the second equation.

(7 - x) + 7x = (x + 5); (2 + 3y)/(2) = 2y - 6

Exercise 28.1 | Q 11

A rectangle PQRS is drawn on the coordinate axes such that P is the origin, PQ = 6 units and PS = 5 units. Find the coordinates of the vertices P, Q R and S. Also, find the area of the rectangle.

Exercise 28.2

### Frank solutions for Class 9 Maths ICSE Chapter 28 Coordinate Geometry Exercise 28.2

Exercise 28.2 | Q 1

Express the equation 3x + 5y + 15 = 0 in the form such that:
a. x is subject to the formula
b. y is dependent variable and x is independent variable.

Exercise 28.2 | Q 2.1

Draw a graph of each of the following equations: x + 5 = 0

Exercise 28.2 | Q 2.2

Draw a graph of each of the following equations: y - 4 = 0

Exercise 28.2 | Q 2.3

Draw a graph of each of the following equations: 2x = 7

Exercise 28.2 | Q 2.4

Draw a graph of each of the following equations: 2y - 5 = 0

Exercise 28.2 | Q 2.5

Draw a graph of each of the following equations: x = 0

Exercise 28.2 | Q 2.6

Draw a graph of each of the following equations: y = 3

Exercise 28.2 | Q 3.01

Draw a graph of each of the following equations: x + 6y = 15

Exercise 28.2 | Q 3.02

Draw a graph of each of the following equations: 3x - 2y = 6

Exercise 28.2 | Q 3.03

Draw a graph of each of the following equations: 3y + 2x = 11

Exercise 28.2 | Q 3.04

Draw a graph of each of the following equations: 5x + 2y = 16

Exercise 28.2 | Q 3.05

Draw a graph of each of the following equations: x + y - 3 = 0

Exercise 28.2 | Q 3.06

Draw a graph of each of the following equations: x = -3y

Exercise 28.2 | Q 3.07

Draw a graph of each of the following equations: y = (5)/(2) xx + (2)/(5)

Exercise 28.2 | Q 3.08

Draw a graph of each of the following equations: (x - 2)/(3) - (y + 1)/(2) = 0

Exercise 28.2 | Q 3.09

Draw a graph of each of the following equations: 2(x - 5) = (3)/(4)(y - 1)

Exercise 28.2 | Q 3.1

Draw a graph of each of the following equations: y = (3)/(5) x - 1

Exercise 28.2 | Q 4

Draw a graph of the equation 3x - y = 7. From the graph find the value of:
(i) y, when x = 1
(ii) x, when y = 8

Exercise 28.2 | Q 5

Draw a graph of the equation 2x - 3y = 15. From the graph find the value of:
(i) x, when y = 3
(ii) y, when x = 0

Exercise 28.2 | Q 6.1

Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: 2x + 3y = 12

Exercise 28.2 | Q 6.2

Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: (2x)/(5) + y/(2) = 1

Exercise 28.2 | Q 7

Draw a graph of the equation 2x + 3y + 5 = 0, from the graph find the value of:
(i) x, when y = -3
(ii) y, when x = 8

Exercise 28.2 | Q 8

Draw a graph of the equation 5x - 3y = 1. From the graph find the value of:
(i) x, when y = 8
(ii) y, when x = 2

Exercise 28.2 | Q 9

Draw the graph of the lines y = x + 2, y = 2x - 1 and y = 2 from x = -3 to 4, on the same graph paper. Check whether the lines drawn are parallel to each other.

Exercise 28.2 | Q 10.1

Find the inclination and slope of a line which is equidistant from the x-axis.

Exercise 28.2 | Q 10.2

Find the inclination and slope of a line which is equidistant from the y-axis.

Exercise 28.2 | Q 10.3

Find the inclination and slope of a line which is intersecting x-axis at right angle.

Exercise 28.2 | Q 10.4

Find the inclination and slope of a line which is perpendicular to y-axis.

Exercise 28.2 | Q 11.1

Find the slope of the line whose inclination is given as 0°

Exercise 28.2 | Q 11.2

Find the slope of the line whose inclination is given as 30°

Exercise 28.2 | Q 11.3

Find the slope of the line whose inclination is given as 45°

Exercise 28.2 | Q 11.4

Find the slope of the line whose inclination is given as 60°

Exercise 28.2 | Q 12.1

Find the inclination of the line whose slope is 1

Exercise 28.2 | Q 12.2

Find the inclination of the line whose slope is sqrt(3)

Exercise 28.2 | Q 13.1

Find the slope and y-intercept for each of the following equations: 3x - 8y + 24 = 0

Exercise 28.2 | Q 13.2

Find the slope and y-intercept for each of the following equations: 6x = 7y - 12

Exercise 28.2 | Q 14.1

Find the equation of the line, whose slope is 3 and y-intercept is 5.

Exercise 28.2 | Q 14.2

Find the equation of the line, whose slope is 0 and y-intercept is -1.

Exercise 28.2 | Q 14.3

Find the equation of the line, whose slope is 1 and y-intercept is 0.

Exercise 28.2 | Q 15

Draw the graph of a line 2x + 3y = 6. From the graph, find the slope and y-intercept of the line.

Exercise 28.2 | Q 16

Draw the graph of the lines represented by the equations x + y = 4 and 2x - y = 2 on the same graph. Find the coordinates of the point where they intersect

Exercise 28.2 | Q 17

Draw the graph of the lines represented by the equations 3x - 2y = 4 and x + y = 3 on the same graph. Find the coordinates of the point where they intersect. State, whether the lines are perpendicular to each other.

Exercise 28.2 | Q 18

Draw the graph of the lines represented by the equations 2x - y = 8 and 4x + 3y = 6 on the same graph. Find the co-ordinates of the point where they intersect.

Exercise 28.2 | Q 19

Draw the graph of the lines represented by the equations 5y = 3x + 1 and y = 2x + 3 on the same graph. Find the coordinates of the point where they intersect.

## Chapter 28: Coordinate Geometry

Exercise 28.1Exercise 28.2 ## Frank solutions for Class 9 Maths ICSE chapter 28 - Coordinate Geometry

Frank solutions for Class 9 Maths ICSE chapter 28 (Coordinate Geometry) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Class 9 Maths ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 9 Maths ICSE chapter 28 Coordinate Geometry are Dependent and Independent Variables, Ordered Pair, Co-ordinates of Points, Quadrants and Sign Convention, Plotting of Points, Graph, Graphs of Linear Equations, Inclination and Slope, Y-intercept, Finding the Slope and the Y-intercept of a Given Line, Coordinate Geometry, Cartesian System.

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