Chapters
Chapter 2: Profit , Loss and Discount
Chapter 3: Compound Interest
Chapter 4: Expansions
Chapter 5: Factorisation
Chapter 6: Changing the subject of a formula
Chapter 7: Linear Equations
Chapter 8: Simultaneous Linear Equations
Chapter 9: Indices
Chapter 10: Logarithms
Chapter 11: Triangles and their congruency
Chapter 12: Isosceles Triangle
Chapter 13: Inequalities in Triangles
Chapter 14: Constructions of Triangles
Chapter 15: Mid-point and Intercept Theorems
Chapter 16: Similarity
Chapter 17: Pythagoras Theorem
Chapter 18: Rectilinear Figures
Chapter 19: Quadrilaterals
Chapter 20: Constructions of Quadrilaterals
Chapter 21: Areas Theorems on Parallelograms
Chapter 22: Statistics
Chapter 23: Graphical Representation of Statistical Data
Chapter 24: Perimeter and Area
Chapter 25: Surface Areas and Volume of Solids
Chapter 26: Trigonometrical Ratios
Chapter 27: Trigonometrical Ratios of Standard Angles
Chapter 28: Coordinate Geometry

Chapter 28: Coordinate Geometry
Frank solutions for Class 9 Maths ICSE Chapter 28 Coordinate Geometry Exercise 28.1
Find the value of 'a' and 'b' if
a. (a + 2,5 + b) = (1, 6)
b. (2a + b, a - 2b) = (7, 6)
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)
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)
Find the co-ordinates of points whose: Abscissa is 6 and ordinate is 2
Find the co-ordinates of points whose: Abscissa is 0 and ordinate is -3
Find the co-ordinates of points whose: Abscissa is 5 and ordinate is -1
Find the co-ordinates of points whose: Abscissa is -2 and ordinate is 0
Find the co-ordinates of points whose: Abscissa is -4 and ordinate is -7
Find the co-ordinates of points whose: Abscissa is 0 and ordinate is 0
Find the co-ordinates of points whose: Abscissa is -7 and ordinate is 4
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)
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.
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.
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.
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)
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
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
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.
Frank solutions for Class 9 Maths ICSE Chapter 28 Coordinate Geometry Exercise 28.2
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.
Draw a graph of each of the following equations: x + 5 = 0
Draw a graph of each of the following equations: y - 4 = 0
Draw a graph of each of the following equations: 2x = 7
Draw a graph of each of the following equations: 2y - 5 = 0
Draw a graph of each of the following equations: x = 0
Draw a graph of each of the following equations: y = 3
Draw a graph of each of the following equations: x + 6y = 15
Draw a graph of each of the following equations: 3x - 2y = 6
Draw a graph of each of the following equations: 3y + 2x = 11
Draw a graph of each of the following equations: 5x + 2y = 16
Draw a graph of each of the following equations: x + y - 3 = 0
Draw a graph of each of the following equations: x = -3y
Draw a graph of each of the following equations: y = `(5)/(2) xx + (2)/(5)`
Draw a graph of each of the following equations: `(x - 2)/(3) - (y + 1)/(2)` = 0
Draw a graph of each of the following equations: 2(x - 5) = `(3)/(4)(y - 1)`
Draw a graph of each of the following equations: y = `(3)/(5) x - 1`
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
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
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
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
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
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
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.
Find the inclination and slope of a line which is equidistant from the x-axis.
Find the inclination and slope of a line which is equidistant from the y-axis.
Find the inclination and slope of a line which is intersecting x-axis at right angle.
Find the inclination and slope of a line which is perpendicular to y-axis.
Find the slope of the line whose inclination is given as 0°
Find the slope of the line whose inclination is given as 30°
Find the slope of the line whose inclination is given as 45°
Find the slope of the line whose inclination is given as 60°
Find the inclination of the line whose slope is 1
Find the inclination of the line whose slope is `sqrt(3)`
Find the slope and y-intercept for each of the following equations: 3x - 8y + 24 = 0
Find the slope and y-intercept for each of the following equations: 6x = 7y - 12
Find the equation of the line, whose slope is 3 and y-intercept is 5.
Find the equation of the line, whose slope is 0 and y-intercept is -1.
Find the equation of the line, whose slope is 1 and y-intercept is 0.
Draw the graph of a line 2x + 3y = 6. From the graph, find the slope and y-intercept of the line.
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
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.
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.
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

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.
Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Frank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.
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.
Using Frank Class 9 solutions Coordinate Geometry exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 9 prefer Frank Textbook Solutions to score more in exam.
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