1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Sides of triangle are 3xâˆ’4y=5, 4x+3y=6 and x+y=7. Taking these sides as diameter if we draw three circles then the radical centre of these three circles is

A
(395,25)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
(3925,225)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(345,15)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
(3425,225)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is C (3925,−225)Let the three lines meet at A, B and C then radical center will be the orthocenter of triangle ABC. me1×me2=34×−43=−1 ⟹l1⊥l2⟹ ABC is right triangle ⟹ vertex at right angle (A) is orthocenter. l1=3x–4y=5 l2=4x+3y=6 On solving the l1 and l2, x=3925,y=−225 RC=(3925,−225)

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Definition of Circle
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program