Advertisements
Advertisements
Question
If 'a' is a real number, what is the distance between the Y-axis and the line x = a?
Advertisements
Solution
The line x = a is parallel to the Y-axis passing through (a, 0).
If a > 0, then the line will be the distance of a unit to the right of the Y-axis.
If a < 0, then the line will be the distance of a unit to the left of the Y-axis.
Thus, the distance between the Y-axis and the line x = a is |a| units.
APPEARS IN
RELATED QUESTIONS
Give the geometric representations of 2x + 9 = 0 as an equation in one variable.
Draw the graphs of the linear equations 4x − 3y + 4 = 0 and 4x + 3y − 20 = 0. Find the area
bounded by these lines and x-axis.
Give the geometric representation of the following equation
(a) on the number line (b) on the Cartesian plane : y = 3
Give the geometric representation of the following equation
(a) on the number line (b) on the Cartesian plane : 2x + 9 = 0
Give the geometrical representation of 2x + 13 = 0 as an equation in one variable .
Write the equation of the line that is parallel to x-axis and passing through the point (3, 4) .
Write the equation of the line that is parallel to y-axis and passing through the point (4, 0) .
Write the equation of the line that is parallel to y-axis and passing through the point (−2, 0 ) .
Write the equation of the line that is parallel to y-axis and passing through the point (− 4, −3) .
Write the equation of the line parallel to the X-axis at a distance of 5 units from it and below the X-axis.
The point Q(- 3,-2) lies on a line parallel to the Y-axis. Write the equation of the line and draw its graph.
X-axis and line x = - 4 are parallel lines. What is the distance between them?
Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.
y − 2 = 0
Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.
y = -5
How many lines are there which are parallel to X-axis and having a distance 5 units?
The point of the form (a, a) always lies ______.
