Selina Class 9 ICSE Solutions Mathematics : Chapter 26- Co-ordinate Geometry

Class 9: Maths Chapter 26 solutions. Complete Class 9 Maths Chapter 26 Notes.

Selina Class 9 ICSE Solutions Mathematics : Chapter 26- Co-ordinate Geometry

Selina 9th Maths Chapter 26, Class 9 Maths Chapter 26 solutions

Exercise 26(A)

Solution 1:

Solution 2:

On the graph paper, let us draw the co-ordinate axes XOX’ and YOY’ intersecting at the origin O. With proper scale, mark the numbers on the two co-ordinate axes.
Now for the point A(8,7)
Step I
Starting from origin O, move 8 units along the positive direction of X axis, to the right of the origin O
Step II
Now from there, move 7 units up and place a dot at the point reached. Label this point as A(8,7)
Similarly plotting the other points

Solution 3:

Solution 4:
(i) The abscissa is 2
Now using the given graph the co-ordinate of the given point A is given by (2,2)
(ii) The ordinate is 0
Now using the given graph the co-ordinate of the given point B is given by (5,0)
(iii) The ordinate is 3
Now using the given graph the co-ordinate of the given point C and E is given by (-4,3)& (6,3)
(iv) The ordinate is -4
Now using the given graph the co-ordinate of the given point D is given by (2,-4)
(v) The abscissa is 5
Now using the given graph the co-ordinate of the given point H, B and G is given by (5,5) ,(5,0) & (5,-3)
(vi)The abscissa is equal to the ordinate.
Now using the given graph the co-ordinate of the given point I,A & H is given by (4,4),(2,2) & (5,5)
(vii)The ordinate is half of the abscissa
Now using the given graph the co-ordinate of the given point E is given by (6,3)

Solution 5:
(i)The ordinate of a point is its x-co-ordinate.
False.
(ii)The origin is in the first quadrant.
False.
(iii)The y-axis is the vertical number line.
True.
(iv)Every point is located in one of the four quadrants.
True.
(v)If the ordinate of a point is equal to its abscissa; the point lies either in the first quadrant or in the second quadrant.
False.
(vi)The origin (0,0) lies on the x-axis.
True.
(vii)The point (a,b) lies on the y-axis if b=0.
False

Solution 6:

Solution 7:

After plotting the given points A(2,0), B(8,0) and C(8,4) on a graph paper; joining A with B and B with C. From the graph it is clear that the vertical distance between the points B(8,0) and C(8,4) is 4 units, therefore the vertical distance between the points A(2,0) and D must be 4 units. Now complete the rectangle ABCD
As is clear from the graph D(2,4)
(ii)A(4,2), B(-2,-2) and D(4,-2)

After plotting the given points A(4,2), B(-2,2) and D(4,-2) on a graph paper; joining A with B and A with D. From the graph it is clear that the vertical distance between the points A(4,2) and D(4,-2) is 4 units and the horizontal distance between the points A(4,2) and B(-2,2) is 6 units , therefore the vertical distance between the points B(-2,2)and C must be 4 units and the horizontal distance between the points B(-2,2) and C must be 6 units. Now complete the rectangle ABCD
As is clear from the graph C(-2,2)

Solution 8:

After plotting the given points A(2,-2), B(8,2) and C(4,-4) on a graph paper; joining B with C and B with A . Now complete the parallelogram ABCD.
As is clear from the graph D(-6,4)
Now from the graph we can find the mid points of the sides AB and CD.
Therefore the co-ordinates of the mid-point of AB is E(3,2) and the co-ordinates of the mid-point of CD is F(-1,-4)

Solution 9:

Solution 10:

Solution 11:

Solution 12:

Solution 13:

Exercise 26(B)

Solution 1:

Solution 2:

Solution 3:

Solution 4:

Solution 5:

Solution 6:

Solution 7:

Solution 8:

Solution 9:

Solution 10:

Solution 11:

Solution 12:

Solution 13:

Exercise 26(C)

Solution 1:
The angle which a straight line makes with the positive direction of x-axis (measured in anticlockwise direction) is called inclination o the line.
The inclination of a line is usually denoted by θ
(i)The inclination is θ = 45°
(ii) The inclination is θ = 135°
(iii) The inclination is θ = 30°

Solution 2:
(i)The inclination of a line parallel to x-axis is θ = 0°
(ii)The inclination of a line perpendicular to x-axis is θ = 90°
(iii) The inclination of a line parallel to y-axis is θ = 90°
(iv) The inclination of a line perpendicular to y-axis is θ = 0°

Solution 3:

Solution 4:

Solution 5:

Solution 6:

Solution 7:

Solution 8:
Given line is 3x + 4y = 12
The graph of the given line is shown below.

Clearly from the graph we can find the y-intercept.
The required y-intercept is 3.

Solution 9:
Given line is
2x – 3y – 18 = 0
The graph of the given line is shown below.

Clearly from the graph we can find the y-intercept.
The required y-intercept is -6

Solution 10:
Given line is
x + y = 5
The graph of the given line is shown below.

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Selina Class 9 ICSE Solutions Mathematics : Chapter 26- Co-ordinate Geometry

Download PDF: Selina Class 9 ICSE Solutions Mathematics : Chapter 26- Co-ordinate Geometry PDF

Chapterwise Selina Publishers ICSE Solutions for Class 9 Mathematics :

• Chapter 1 - Rational and Irrational Numbers
• Chapter 2- Compound Interest (Without using formula)
• Chapter 3 - Compound Interest (Using Formula)
• Chapter 4- Expansions (Including Substitution)
• Chapter 5- Factorisation
• Chapter 6 - Simultaneous (Linear) Equations (Including Problems)
• Chapter 7- Indices (Exponents)
• Chapter 8- Logarithms
• Chapter 9- Triangles [Congruency in Triangles]
• Chapter 10- Isosceles Triangles
• Chapter 11- Inequalities
• Chapter 12- Mid-point and Its Converse [ Including Intercept Theorem]
• Chapter 13- Pythagoras Theorem [Proof and Simple Applications with Converse]
• Chapter 14- Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
• Chapter 15- Construction of Polygons
• Chapter 16- Area Theorems [Proof and Use]
• Chapter 17- Circle
• Chapter 18- Statistics
• Chapter 19- Mean and Median
• Chapter 20 - Area and Perimeter of Plane Figures
• Chapter 21- Solids [Surface Area and Volume of 3-D Solids]
• Chapter 22- Trigonometrical Ratios
• Chapter 23- Trigonometrical Ratios of Standard Angles
• Chapter 24- Solution of Right Triangles
• Chapter 25- Complementary Angles
• Chapter 26- Co-ordinate Geometry
• Chapter 27- Graphical Solution (Solution of Simultaneous Linear Equations, Graphically)
• Chapter 28- Distance Formula

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