In a triangle ABC the equation of the bisector of angle $B$ is $y=x$. If $A=(2,6)$ and $B=(1,1)$, then equation of side $B C$, is

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Application +4 | -1

In a triangle ABC the equation of the bisector of angle

B

y=x

. If

A=(2,6)

and

B=(1,1)

, then equation of side

B C

, is

View answer and explanation

Correct option: B

x-5 y+4=0

Option B (

x-5 y+4=0

) is correct because it represents the equation of side BC given the bisector of angle B and vertex A.

Practice All Chapter MCQs →

x-3 y=p, a x+2 y=q

a x+y=r

\left\{ {a{t_1}{t_2},\;a\left( {{t_1} + {t_2})\} ,\{ a{t_2}{t_3},a({t_2} + {t_3}} \right)} \right\},\;\left\{ {a{t_3}{t_1},\;a\left( {{t_3} + {t_1}} \right)} \right\}

y = 2\;x + 4

6x = 3y + 5

{x^2} + {y^2} + 2xy - 8ax - 8ay - 9{a^2} = 0

(3,8)

x+3 y=7

\left( {{x^2} + 7xy + 2{y^2}} \right)\left( {y - 1} \right) = 0