0

Guest

Courses New

Coordinates of B(2,0) and C(8,0) are given. If in triangle ABC, 4 tan(A/2) tan(B/2) = 1 ; find equation of locus of point A.

Grade:12

1 Answers

Sandeep Pathak
askIITians Faculty 25 Points
9 years ago
A few results will help solving this problem
\tan\left(\frac{A}{2} \right )=\frac{r}{s-a}\\ \tan\left(\frac{B}{2} \right )=\frac{r}{s-b}\\ sr^2 = (s-a)(s-b)(s-c)
Here, a,b,c are sides of the triangle. s is the semi-radius and r is the in-radius.
Using these equations and given condition, we get 3s=4c which gives (3a+3b=5c).
a=6\\b=\sqrt{(x-8)^2+y^2} \\c=\sqrt{(x-2)^2+y^2}

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More