Question

The line x=h and y=k, where h and k is not equal to zero are
1. Parallel
2.Intersecting
3.Overlapping
4.None of the above

Answer 1

Answer:

2. Intersecting

Step-by-step explanation:

Lines x=h is a line parallel to y axis and y=k is a line parallel to x axis. So they will intersect. -ans by Aayush official

Answer 2

Given:

A pair of linear equations x=h and y=k is drawn in a 2D coordinate system. ( h and k are not equal to zero).

To Find:

The possibility of the intersection 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 = h and y = k.

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

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

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

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

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

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

Therefore, the lines x=h and y=k are intersecting lines. Option B is the correct answer.