Page No 68:
Question 2:
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b, c in each case:
(i) (ii) (iii) − 2x + 3 y = 6
(iv) x = 3y (v) 2x = − 5y (vi) 3x + 2 = 0
(vii) y − 2 = 0 (viii) 5 = 2x
Page No 70:
Question 1:
Which one of the following options is true, and why?
y = 3x + 5 has
(i) a unique solution, (ii) only two solutions, (iii) infinitely many solutions
Page No 70:
Question 2:
Write four solutions for each of the following equations:
(i) 2x + y = 7 (ii) πx + y = 9 (iii) x = 4y
Page No 70:
Question 3:
Check which of the following are solutions of the equation x − 2y = 4 and which are not:
(i) (0, 2 (ii) (2, 0) (iii) (4, 0)
(iv) (v) (1, 1)
Page No 74:
Question 1:
Draw the graph of each of the following linear equations in two variables:
(i) (ii) (iii) y = 3x (iv) 3 = 2x + y
Page No 74:
Question 2:
Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?
Page No 74:
Question 4:
The taxi fare in a city is as follows: For the first kilometre, the fares is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.
Page No 75:
Question 8:
In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:
(i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.
(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?
(iii) If the temperature is 95°F, what is the temperature in Celsius?
(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?
(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.
Page No 77:
Question 1:
Give the geometric representation of y = 3 as an equation
(I) in one variable
(II) in two variables
Page No 77:
Question 2:
Give the geometric representations of 2x + 9 = 0 as an equation
(1) in one variable
(2) in two variables