Q6 of 26 Page 98

How many lines are there which are parallel to X-axis and having a distance 5 units?

Suppose the required linear equation of a line is y = mx + c

Since, the line is parallel to x-axis, so m = 0


Then equation of the line will be y = c


And this line passes through the point at a distance of 5 units below the x-axis i.e (-5,0)


Then the equation of line is y = -5.


And similarly,


And this line passes through the point at a distance of 5 units above the x-axis i.e (5,0)


Then the equation of line is y = 5.


More from this chapter

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3

Without plotting the points on a graph, state in which quadrant or on which axis do the following point lie.

i. (5, -3) ii. (-7, -12)


iii. (-23, 4) iv. (-9, 5)


v. (0, -3) vi. (-6, 0)

 4

Plot the following points on the one and the same co-ordinate system.

A(1, 3), B(-3, -1), C(1, -4),


D(-2, 3), E(0, -8), F(1, 0)

 5

In the graph alongside, line LM is parallel to the Y-axis. (Fig. 7.12)


i. What is the distance of line LM from the Y-axis?


ii. Write the co-ordinates of the points P, Q and R.


iii. What is the difference between the x co-ordinates of the points L and M?

 7

If ‘a’ is a real number, what is the distance between the Y-axis and the line x = a?