The vertices of triangle are A(−1,−7),B(5,1),C(1,4). The equation of the internal bisector of angle ∠ABC is
A
x−7y+2=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3x−3y−7=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3x−7y−8=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3x+7y+2=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Ax−7y+2=0 The vertices of a triangle are A(−1,−7),B(5,1),C(1,4) Here AB=10,BC=5 The internal bisector of ∠ABC will divide the opposite side AC in the ratio 5:1O ∴ Point D have the co-ordinates (using section formula) as (13,13) ∴ Equation of BD is x−7y+2=0 Hence the choice (a) is correct answer.