Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Padma Bhushan Borah Grade: 12

Will in a triangle ABC, the ex-circle w.r.t. A & the in-circle touches at the same point always? What in case of isosceles triangle? What is the condition for that? PLz xpln details. 

7 years ago

Answers : (1)

Priyansh Bajaj AskiitiansExpert-IITD
30 Points

Dear Padma Bhushan,

Solution:- It is not necessary that the ex-circle w.r.t. A and in-circle always touch at the same point to line BC. Even, in most of the cases, they do not touch at the same point.

In case of isosceles triangle (having AB = AC), ex-circle w.r.t. A and in-circle always touch at the same point to line BC. And that point is the mid point of BC. Note that, ex-circles w.r.t. B and C will not touch the in-circle at the same point to line AC and AB respectively (in this case).

In case of equilateral triangle (having AB = AC = BC), ex-circles w.r.t. A,B and C and in-circle always touch at the same point in line BC, AC and AB respectively.

Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation.

All the best Padma Bhushan!!


Askiitians Experts

Priyansh Bajaj

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details