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Introduction To Euclid's Geometry

Question
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Rohit is driving his car at a uniform speed of 80 km per hour. Draw time-distance graph taking time along x-axis and distance along y-axis. 

Solution

Let us represent time (in hour) by x and distance (in km) by y. Then, we have y = 80 x
Table of solutions

X

1

2

3

4

y,

80

160

240

320

We plot the points (1, 80). (2, 160), (3, 240) and (4,320) on a graph paper and join these points by a ruler to get the line which is the graph of the equation
y = 80x

Some More Questions From Introduction to Euclid's Geometry Chapter

 Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

Express the linear equation 7 = 2x in the form ax + by + c = 0 and also write the values of a, b and c

Write each of the following as an equation in two variables:

(i) x = – 5 (ii) y = 2

(iii) 2x = 3 (iv) 5y = 2.

 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.

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