If ab + bc + ca = 0, then prove that 1/(a^2-ab)+1/(b^2-ac)+1/(c^2-ab)=0. - Sarthaks eConnect | Largest Online Education Community
![If A, B and C are three points on a line, and B lies between A and C (see below fig.), then prove that AB + BC = AC. If A, B and C are three points on a line, and B lies between A and C (see below fig.), then prove that AB + BC = AC.](https://toppr-doubts-media.s3.amazonaws.com/images/4749190/1136440b-f221-445f-9cd2-dcd59d990ee3.jpg)
If A, B and C are three points on a line, and B lies between A and C (see below fig.), then prove that AB + BC = AC.
Prove that |(a^2 + λ,ab,ac),(ab,b^2 + λ,bc),(ac,bc,c^2 + λ)| = λ^2(a^2 + b^2 + c^2 + λ) - Sarthaks eConnect | Largest Online Education Community
![From the figure mcos A - AS Given cos A cos B AC AB BC AB Multiply both sides by AB AEX ABBE AB AC – BC In Triangle ABC, AC – From the figure mcos A - AS Given cos A cos B AC AB BC AB Multiply both sides by AB AEX ABBE AB AC – BC In Triangle ABC, AC –](https://toppr-doubts-media.s3.amazonaws.com/images/9114490/9309de7a-714d-4c67-8560-b487301e57a2.jpg)