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Question: The co-ordinates of the foot of perpendicular from the point (2, 3) on the line x + y – 11 = 0 are...

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

A

(– 6, 5)

B

(5, 6)

C

(– 5, 6)

D

(6, 5)

Answer

(5, 6)

Explanation

Solution

x + y – 11 = 0 ….(i)

β31\frac { \beta - 3 } { 1 }= –{2+311}(12+12)\frac { \{ 2 + 3 - 11 \} } { \left( 1 ^ { 2 } + 1 ^ { 2 } \right) }

Ž a = 5, b = 6

Hence M (5, 6)