A-line-is-formed-by-joining-the-points-A-7-0-and-B-0-2-Obtain-the-equation-of-the-straight-line-joining-AC-such-that-the-x-axis-bisects-the-angle-BAC-

Question Number 170435 by MathsFan last updated on 23/May/22

A l i n e i s f o r m e d b y j o i n i n g t h e

p o i n t s A (7, 0) a n d B (0, 2) . O b t a i n

t h e e q u a t i o n o f t h e s t r a i g h t l i n e

j o i n i n g A C s u c h t h a t t h e x - a x i s

b i s e c t s t h e a n g l e B A C .

Answered by MikeH last updated on 23/May/22

If the x - axis bisects ∠ B A C

\Rightarrow C (0, - 2)

m = \frac{△ y}{△ x} = \frac{- 2 - 0}{0 - 7} = \frac{2}{7}

y - 0 = \frac{2}{7} (x - 7)

\Rightarrow 7 y = 2 x - 14 (equation of line A C)

Commented by MathsFan last updated on 23/May/22

t h a n k s b u t h o w d i d y o u g e t C (0, - 2)

Commented by MikeH last updated on 24/May/22

Commented by MikeH last updated on 24/May/22

looking from the sketch above, you find

the angle B A C bisected by the x - axis

but for the bisection (symmetric division)

to occur, the point C has coordinates

(0, - 2) .

Commented by MathsFan last updated on 24/May/22

t h a n k y o u v e r y m u c h s i r .