Write the coordinates of the orthocenter of the triangle formed by the

1.	Write the coordinates of the orthocenter of the triangle formed by the lines xy = 0 and x + y = 1
Answer» Given: Lines xy = 0 and x + y = 1 To find: The coordinates of the orthocenter of the triangle formed by the lines xy = 0 and x + y = 1 Explanation: The equation xy = 0 represents a pair of straight lines. The lines can be written separately in the following way: x = 0 … (1) y = 0 … (2) The third line is x + y = 1 … (3) Lines (1) and (2) are perpendicular to each other as they are coordinate axes. Therefore, the triangle formed by the lines (1), (2) and (3) is a right-angled triangle. Thus, the or the centre of the triangle formed by the given lines is the intersection of x = 0 and y = 0, which is (0, 0).

Write the coordinates of the orthocenter of the triangle formed by the lines xy = 0 and x + y = 1

Answer»

Given:

Lines xy = 0 and x + y = 1

To find:

The coordinates of the orthocenter of the triangle formed by the lines xy = 0 and x + y = 1

Explanation:

The equation xy = 0 represents a pair of straight lines.

The lines can be written separately in the following way:

x = 0 … (1)

y = 0 … (2)

The third line is

x + y = 1 … (3)

Lines (1) and (2) are perpendicular to each other as they are coordinate axes.

Therefore, the triangle formed by the lines (1), (2) and (3) is a right-angled triangle.

Thus, the or the centre of the triangle formed by the given lines is the intersection of x = 0 and y = 0, which is (0, 0).