Solveeit Logo

Question

Question: The foot of the perpendicular drawn form (2, 4) to the line x + y = 1 is –...

The foot of the perpendicular drawn form (2, 4) to the line

x + y = 1 is –

A

(13,32)\left( \frac{1}{3},\frac{3}{2} \right)

B

(12,32)\left( –\frac{1}{2},\frac{3}{2} \right)

C

(43,12)\left( \frac{4}{3},\frac{1}{2} \right)

D

(34,12)\left( \frac{3}{4},–\frac{1}{2} \right)

Answer

(12,32)\left( –\frac{1}{2},\frac{3}{2} \right)

Explanation

Solution

The bisectors BD and CF of a triangle ABC have equations y = x and x = 10. If A is (3, 5) then equation of BC is –