The pair of equations x = a and y = b graphically represents lines which are
a. parallel
b. intersecting at (b, a)
c. coincident
d. intersecting at (a, b)
Solution:
Given, the pair of equations are
x = a and y = b.
We have to find a graphical representation of the lines.
The line x = a is a line parallel to y-axis.
The line y = b is a line parallel to x-axis.
From the above graph,
The lines x = a and y = b meet at 90 degrees.
i.e. the lines intersect.
So, the equations are consistent.
Therefore, the point of intersection is (a, b).
✦ Try This: The pair of equations x = 5 and y = 8 graphically represents lines which are
Given, the pair of equations are x = 5 and y = 8.
We have to find the graphical representation of lines.
From the graph above,
The blue line represents y = 8 which is parallel to x-axis.
The red line represents x = 5 which is parallel to the y-axis.
Therefore, the lines intersect at (5, 8)
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3
NCERT Exemplar Class 10 Maths Exercise 3.1 Problem 5
The pair of equations x = a and y = b graphically represents lines which are, a. parallel , b. intersecting at (b, a), c. coincident, d. intersecting at (a, b)
Summary:
The pair of equations x = a and y = b graphically represents lines that are intersecting at (a, b).
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