RS Aggarwal 2017 Solutions for Class 8 Math Chapter 25 - Graphs

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RS Aggarwal 2017 Solutions for Class 8 Math Chapter 25 Graphs are provided here with simple step-by-step explanations. These solutions for Graphs are extremely popular among class 8 students for Math Graphs Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RS Aggarwal 2017 Book of class 8 Math Chapter 25 are provided here for you for free. You will also love the ad-free experience on Meritnation’s RS Aggarwal 2017 Solutions. All RS Aggarwal 2017 Solutions for class 8 Math are prepared by experts and are 100% accurate.

Page No 262:

Question 1:

On a graph paper draw the coordinate axes X'OX and YOY', and plot each of the following points:
(i) A(4, 3)
(ii) B(2, 6)
(iii) C(−3, 5)
(iv) D(−5, 2)
(v) E(−2, −3)
(vi) F(−5, −3)
(vii) G(5, −4)
(viii) H(3, −3)

Answer:

Let X' O X and Y O Y' be the coordinate axes .

(i) On the x - axis, take 4 units to the right of the y axis; and then on the y - axis, take 3 units above the x - axis . Thus, we obtain the point A (4, 3) (ii) On the x - axis, take 2 units to the right of the y - axis; and then on the y - axis, take 6 units above the x - axis . Thus, we obtain the point B (2, 6) (iii) On the x - axis, take 3 units to the left of the y - axis; and then on the y - axis, take 5 units above the x - axis . Thus, we obtain the point C (- 3, 5) (iv) On the x - axis, take 5 units to the left of the y - axis; and then on the y - axis, take 2 units above the x - axis . Thus, we obtain the point D (- 5, 2) (v) On the x - axis, take 2 units to the left of the y - axis; and then on the y - axis, take 3 units below the x - axis . Thus, we obtain the point E (- 2, - 3) (vi) On the x - axis, take 5 units to the left of the y - axis; and then on the y - axis, take 3 units below the x - axis . Thus, we obtain the point F (- 5, - 3) (vii) On the x - axis, take 5 units to the right of the y - axis; and then on the y - axis, take 4 units below the x - axis . Thus, we obtain the point G (5, - 4) (viii) On the x - axis, take 3 units to the right of the y - axis; and then on the y - axis, take 3 units below the x - axis . Thus, we obtain the point H (3, - 3)

Page No 266:

Question 1:

(a) Draw the graph of the function y = 3x.
(b) From the graph, find the value of y, when
(i) x = 3
(ii) x = 5
(iii) x = 6

Answer:

$(a) The given function is y = 3 x . For some different values of x, the corresponding values of y are given below :$

x	0	1	2
y	0	3	6

On a graph paper, plot the points O (0, 0), A (1, 3) and B (2, 6) . Join them successively to obtain the required graph .

(b) Reading off from the graph (i) On the x - axis, take the point L at x = 3 . Draw L P ⊥ x - axis, meeting the graph at P . Clearly, P L = 9 units ∴ x = 3 \Rightarrow y = 9 (ii) On the x - axis, take the point M at x = 5 . Draw M Q ⊥ x - a x i s, meeting the graph at Q . Clearly, Q M = 15 units ∴ x = 5 \Rightarrow y = 15 (iii) On the x - axis, take the point N at x = 6 . Draw R N ⊥ x - axis, meeting the graph at R . Clearly, R N = 18 units ∴ x = 6 \Rightarrow y = 18

Page No 266:

Question 2:

(a) Draw the graph of the function P = 4x.
(b) From the graph, find the value of P, when
(i) x = 3
(ii) x = 4
(iii) x = 6

Answer:

$(a) The given function is P = 4 x . For some different values of x, the corresponding values of P are given below :$

x	0	1	2
P	0	4	8

On a graph paper, plot the points O (0, 0), A (1, 4) and B (2, 8) . Join them successively to obtain the required graph .

(b) Reading off from the graph (i) On the x - axis, take the point L at x = 3 . Draw L R ⊥ x - axis, meeting the graph at R . Clearly, R L = 12 units ∴ x = 3 \Rightarrow P = 12 (ii) On the x - axis, take the point M at x = 4 . Draw M S ⊥ x - axis, meeting the graph at S . Clearly, S M = 16 units ∴ x = 4 \Rightarrow P = 16 (iii) On the x - axis, take the point N at x = 6 . Draw N T ⊥ x - axis, meeting the graph at T . Clearly, T N = 24 units ∴ x = 6 \Rightarrow P = 24

Page No 267:

Question 3:

(a) Draw the graph of the function A = x².
(b) From the graph, find the value of A, when
(i) x = 2
(ii) x = 3
(iii) x = 4

Answer:

$(a) The given function is A = x^{2} . For some different values of x, the corresponding values of A are given below :$

x	0	1	2
A	0	1	4

On a graph paper, plot the points O (0, 0), S (1, 1) and P (2, 4) . Join them successively to obtain the required graph .

(b) Reading off from the graph (i) On the x - axis, take the point L at x = 2 . Draw L P ⊥ x - axis, meeting the graph at P . Clearly, P L = 4 units ∴ x = 2 \Rightarrow A = 4 (ii) On the x - axis, take the point M at x = 3 . Draw M Q ⊥ x - axis, meeting the graph at Q . Clearly, Q M = 9 units ∴ x = 3 \Rightarrow A = 9 (iii) On the x - axis, take the point N at x = 4 . Draw R N ⊥ x - axis, meeting the graph at R . Clearly, R N = 16 units ∴ x = 4 \Rightarrow A = 16

Page No 267:

Question 1:

Tick (✓) the correct answer:
In which of the following quadrants does the point P(3, 6) lie?
(a) I
(b) II
(c) III
(d) IV

Answer:

$(a) Since the signs of coordinates are (+, +), the point P (3, 6) lies in the I quadrant .$

Page No 267:

Question 2:

Tick (✓) the correct answer:
In which of the following quadrants does the point (−7, −1) lie?
(a) I
(b) II
(c) III
(d) IV

Answer:

$(c) III Since the signs of coordinates are (-, -), the point (- 7, - 1) lies in the III quadrant .$

Page No 267:

Question 3:

Tick (✓) the correct answer:
In which of the following quadrants does the point A(2, −3) lie?
(a) I
(b) II
(c) III
(d) IV

Answer:

$(d) IV Since the signs of the coordinates are (+, -), the point A (2, - 3) lies in the IV quadrant .$

Page No 267:

Question 4:

Tick (✓) the correct answer:
In which of the following quadrants does the point Q(−4, 1) lie?
(a) I
(b) II
(c) III
(d) IV

Answer:

$(b) II Since the signs of coordinates are (-, +), the point Q (- 4, 1) lies in the II quadrant .$

Page No 267:

Question 5:

Tick (✓) the correct answer:
The obscissa of a point is its distance from the
(a) origin
(b) x-axis
(c) y-axis
(d) none of these

Answer:

$(c) y - axis The abscissa of a point is its distance from the y - axis .$

Page No 267:

Question 6:

Tick (✓) the correct answer:
The graph of y = a is
(a) the x-axis
(b) the y-axis
(c) a line parallel to the y-axis
(d) a line parallel to the x-axis

Answer:

$(d) a line parallel to the x - axis The graph of y = a is a line parallel to the x - axis .$

Page No 267:

Question 7:

Tick (✓) the correct answer:
The equation representing the y-axis is
(a) x = 0
(b) y = 0
(c) x = a
(d) y = a

Answer:

$(a) x = 0 The equation representing the y - axis is x = 0 .$

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