The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y – 11 = 0 are

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


ð x = 5 and y = 6

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