The coordinates of the foot of the perpendicular from the point (2, 3)

1.	The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y – 11 = 0 are A. (-6, 5) B. (3, 4) C. (0, 0) D. (6, 5)
Answer» Let the coordinate of the foot of perpendicular from the point (2, 3) on the line x + y – 11 = 0 be (x, y) Now, the slope of the perpendicular = -1 The equation of perpendicular is given by y – 3 = 1(x – 2) = > x – y + 1 = 0 Solving x + y – 11 = 0 and x – y + 1 = 0, we get x = 5 and y = 6

The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y – 11 = 0 are A. (-6, 5) B. (3, 4) C. (0, 0) D. (6, 5)

Answer»

Let the coordinate of the foot of perpendicular from the point (2, 3) on the line x + y – 11 = 0 be (x, y)

Now, the slope of the perpendicular = -1

The equation of perpendicular is given by

y – 3 = 1(x – 2)

= > x – y + 1 = 0

Solving x + y – 11 = 0 and x – y + 1 = 0, we get

x = 5 and y = 6