BITSAT Mathematics Question (2023) — Solution

Step-by-step solution

Let (h, k) be the coordinates of the foot of the perpendicular from the point (2,3) on the i x+y-11=0. Then, the slope of the perpendicular line is k-3 h-2 . Again the slope of the given line x+y-11=0 is -1 Using the condition of perpendicularity of lines, we have Since (h, k) lies on the given line, we have, Solving (i) and (ii), we get h=5 and k=6. Thus (5,6) are the required coordinates of the foot of the perpendicular.