1.Let ABC be a triangle. Let B' and C' denote respectively the reflection of B and C in the internal angle bisector of angle A. Show that the triangles ABC and AB'C' have the same incentre.
2.Let P(x)=x*x+ax+b be a quadratic polynomial with real coefficients. suppose there are real numbers s is not equal to t such that P(s)=t and P(t)=s.
Prove that b-st is a root of the equation x*x+ax+b-st=0
3.Find all integers a,b,c such that    a*a=bc+1,b*b=ca+1

Asked by sankarpraharaj | 22nd Oct, 2016, 04:29: PM

Expert Answer:

Kindly post 1 question per query. I have solved one of the questions.
 

Answered by Rebecca Fernandes | 24th Oct, 2016, 08:39: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.