CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The equation of the internal bisector of the angle A of a triangle ABC whose vertices are A(4, 3), B(0, 0) and C(2, 3) is .


Correct Answer
A
x-3y+5=0
Your Answer
B
x+3y-5=0
Your Answer
C
3x-y-9=0
Your Answer
D
3x+y-9=0

Solution

The correct option is A x-3y+5=0
In Δ ABC
AB=42+32=5 and AC=(42)2+(33)2=2
As AD bisects A
AB:AC=BD:DC
BD:DC=5:2
Then, the coordinates of D will be
(5×2+05+2,5×3+05+2)=(107,157)
Now, slope of the line joining A and D is 
31574107=21152810=13
 Equation of the line joining A and D using twopoint form will be(y3)=13(x4)3y9=x4x3y+5=0

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image