Question

The coordinates of the foot of perpendicular drawn from (2, 4) to the line $x + y = 1$ is

• A. $\left( \frac { 1 } { 3 } , \frac { 3 } { 2 } \right)$
• B. $\left( - \frac { 1 } { 2 } , \frac { 3 } { 2 } \right)$
• C. $\left( \frac { 4 } { 3 } , \frac { 1 } { 2 } \right)$
• D. $\left( \frac { 3 } { 4 } , \frac { - 1 } { 2 } \right)$

Answer 1

Answer: (B)

$\left( - \frac { 1 } { 2 } , \frac { 3 } { 2 } \right)$

Answer 2

Applying the formula, the required co-ordinates is

$\left( \frac { 1 ^ { 2 } \times 2 - 1 \times 1 \times 4 + 1 } { 1 ^ { 2 } + 1 ^ { 2 } } , \frac { 1 ^ { 2 } \times 4 - 1 \times 1 \times 2 + 1 } { 1 ^ { 2 } + 1 ^ { 2 } } \right)$= $\left( \frac { - 1 } { 2 } , \frac { 3 } { 2 } \right)$