Question

11. The pair of linear equations x = 5 and y = 6 has

a) Unique solution b) No solution c) Many solutions
​

Answer 1

Answer:

a) Unique Solution

hope it will help..

Answer 2

Given:

A pair of linear equations x=5 and y=6 are drawn in a 2D coordinate system.

To Find:

The set of solutions of the given pair of lines.

Solution:

The given problem can be solved using the concepts of straight lines and coordinate geometry.

1. The given lines are x=5 and y =6.

2. Consider a point (j, k) in a 2D coordinate system. According to the properties of coordinate geometry, the point (j, k) is at a distance of j units from the y-axis and at a distance of k units from the x-axis.

3. The line x=5 is at a distance of 5 units from the y-axis.

4. The line y = 6 is at a distance of 6 units from the x-axis.

5. The line x=5 is parallel to the y-axis and the line y=6 is parallel to the x-axis.

6. The line x=5 is perpendicular to the x-axis, and the line y=6 is perpendicular to the y-axis

7. The lines x=a and y=b meet at a point (a, b). Hence the lines x=5 and y=6 intersect at the point (5, 6).

Therefore, the lines x=5 and y=6 have a unique solution. Option A is the correct answer.