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10. The pair
The pair of equations x = 0, y =0 represents
(a) Parallel lines
(b) coincident lines( c) perpendicular lines (d) non-intersecting lines
Answers
Step-by-step explanation:
Option b is correct because bot the point will meet at same point.... You can better umderstand by drawing...
The pair of equations x = 0, and y =0 represents two perpendicular lines. Hence, option (c) is correct.
• The equation x = 0 represents a line that has a y-coordinate but no x-coordinate.
• In other words, x = 0 represents the equation of y-axis. Therefore, the line x = 0 is a vertical line coinciding with the y-axis on graph.
• Similarly, a line with the equation y = 0 has only an x-coordinate and no y-coordinate.
• In other words, y = 0 is the equation of x-axis. Therefore, the line y = 0 is a horizontal line coinciding with the x-axis on graph.
• As we know, the x and y axes on a graph are perpendicular to each other, the lines lying on the axes will also be perpendicular to each other (refer to the image attached below).
• Therefore, the pair of equations x = 0, and y = 0 are perpendicular to each other, and they intersect each other at the origin (0,0).
