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Class Ix Rs Aggarwal All Chapter Pdf Download

Rs Aggarwal 2019 2020 Solutions for Class 9 Maths Chapter 5 Coordinate Geometry are provided here with simple step-by-step explanations. These solutions for Coordinate Geometry are extremely popular among Class 9 students for Maths Coordinate Geometry Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggarwal 2019 2020 Book of Class 9 Maths Chapter 5 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggarwal 2019 2020 Solutions. All Rs Aggarwal 2019 2020 Solutions for class Class 9 Maths are prepared by experts and are 100% accurate.

Page No 174:

Question 1:

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On the plane of a graph paper draw X'OX and YOY' as coordinate axes and plot each of the following points.
(i) A(5, 3)
(ii) B(6, 2)
(iii) C(–5, 3)
(iv) D(4, –6)
(v) E(–3, –2)
(vi) F(–4, 4)
(vii) G(3, –4)
(viii) H(5, 0)
(ix) I(0, 6)
(x) J(–3, 0)
(xi) K(0, –2)
(xii) O(0, 0)

Answer:

(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
(x)
(xi)
(xii)

Page No 175:

Question 2:

Write down the coordinates of each of the points A, B, C, D, E shown below:

Answer:

Draw perpendicular AL, BM, CN, DP and EQ on the X-axis.
(i) Distance of A from the Y-axis = OL = -6 units
Distance of A from the X-axis = AL = 5 units
Hence, the coordinates of A are (-6,5).
(ii) Distance of B from the Y-axis = OM = 5 units
Distance of B from the X-axis = BM = 4 units
Hence, the coordinates of B are (5,4).
(iii) Distance of C from the Y-axis = ON = -3 units
Distance of C from the X-axis = CN = 2 units
Hence, the coordinates of C are (-3,2).
(iv) Distance of D from the Y-axis = OP = 2 units
Distance of D from the X-axis = DP = -2 units
Hence, the coordinates of D are (2,-2).
(v) Distance of E from the Y-axis = OL = -1 units
Distance of E from the X-axis = AL = -4 units
Hence, the coordinates of E are (-1,-4).

Page No 175:

Question 3:

For each of the following points, write the quadrant in which it lies
(i) (–6, 3)
(ii) (–5, –3)
(iii)(11, 6)
(iv) (1, –4)
(v) (–7, –4)
(vi) (4, –1)
(vii) (–3, 8)
(viii) (3, –8)

Answer:

(i) (–6, 3)
Points of the type (–, +) lie in the II quadrant.
Hence, the point lies (–6, 3) in the II quadrant.
(ii) (–5, –3)
Points of the type (–, –) lie in the III quadrant.
Hence, the point lies (–5, –3) in the III quadrant.
(iii)(11, 6)
Points of the type (+, +) lie in the I quadrant.
Hence, the point lies (11, 6) in the I quadrant.
(iv) (1, –4)
Points of the type (+, –) lie in the IV quadrant.
Hence, the point lies (1, –4) in the IV quadrant.
(v) (–7, –4)
Points of the type (–, –) lie in the III quadrant.
Hence, the point lies (–7, –4) in the III quadrant.
(vi) (4, –1)
Points of the type (+, –) lie in the IV quadrant.
Hence, the point lies (4, –1) in the IV quadrant.
(vii) (–3, 8)
Points of the type (–, +) lie in the II quadrant.
Hence, the point lies (–3, 8) in the II quadrant.
(viii) (3, –8)
Points of the type (+, –) lie in the IV quadrant.
Hence, the point lies (3, –8) in the IV quadrant.

Page No 175:

Question 4:

Write the axis on which the given point lies.
(i) (2, 0)
(ii) (0, –5)
(iii) (–4, 0)
(iv) (0, –1)

Answer:

(i) (2, 0)
The ordinate of the point (2, 0) is zero.
Hence, the (2, 0) lies on the x-axis.
(ii) (0, –5)
The abscissa of the point (0, –5) is zero.
Hence, the (0, –5) lies on the y-axis.
(iii) (–4, 0)
The ordinate of the point (–4, 0) is zero.
Hence, the (–4, 0) lies on the x-axis.
(iv) (0, –1)
The abscissa of the point (0, –1) is zero.
Hence, the (0, –1) lies on the y-axis.

Page No 175:

Question 5:

Which of the following points lie on the x-axis?
(i) A(0, 8)
(ii) B(4, 0)
(iii) C(0, –3)
(iv) D(–6, 0)
(v) E(2, 1)
(vi) F(–2, –1)
(vii) G(–1, 0)
(viii) H(0, –2)

Answer:

(i) A(0, 8)
The given point does not lies on the x-axis.
(ii) B(4, 0)
The ordinate of the point (4, 0) is zero.
Hence, the (4, 0) lies on the x-axis.
(iii) C(0, –3)
The given point does not lies on the x-axis.
(iv) D(–6, 0)
The ordinate of the point (–6, 0) is zero.
Hence, the (–6, 0) lies on the x-axis.
(v) E(2, 1)
The given point does not lies on the x-axis.
(vi) F(–2, –1)
The given point does not lies on the x-axis.
(vii) G(–1, 0)
The ordinate of the point (–1, 0) is zero.
Hence, the (–1, 0) lies on the x-axis.
(viii) H(0, –2)
The given point does not lies on the x-axis.

Page No 175:

Question 6:

Plot the points A(2, 5), B(–2, 2) and C(4, 2) on a graph paper. Join AB, BC and AC. Calculate the area of ∆ABC.

Answer:

Abscissa of D = Abscissa of A = 2
Ordinate of D = Ordinate of B = 2
Now,
BC = (2 + 4) units = 6 units
AD = (5 – 2) units = 3 units
$Area of ∆ A B C = \frac{1}{2} \times Base \times Height = \frac{1}{2} \times B C \times A D = \frac{1}{2} \times 6 \times 3 = 9$
Hence, area of ∆ABC is 9 square units.

Page No 175:

Question 7:

Three vertices of a rectangle ABCD are A(3, 1), B(–3, 1) and C(–3, 3). Plot these points on a graph paper and find the coordinates of the fourth vertex D. Also, find the area of rectangle ABCD.

Answer:

Let A(3, 1), B(–3, 1) and C(–3, 3) be three vertices of a rectangle ABCD.
Let the y-axis cut the rectangle ABCD at the points P and Q respectively.
Abscissa of D = Abscissa of A = 3.
Ordinate of D = Ordinate of C = 3.
∴ coordinates of D are (3, 3).
AB = (BP + PA) = (3 + 3) units = 6 units.
BC = (OQ – OP) = (3 – 1) units = 2 units.
Ar(rectangle ABCD) = (AB × BC)
= (6 × 2) sq. units