In ΔABC, if (a+b-c) (a+b-c) = 3ab, then C =

In ΔABC, if a= 26, b=30, cos C=63/65 then  r₁:r₂:r₃ =

In ΔABC, if a,b,c are in A.P. the greatest angle is A and least is C then 4(1- cos A) (1-cos C) =

If a, b, c are the sides of a triangle then the range of ab+bc+ca/a²+b²+c² is

If (a+b)² = c²+ab in a ΔABC and if √2 (sin A+ cos A) =√3 then ascending order of angles A,B,C is

In ΔABC, (r₁ +r₂) (r₂ +r₃) (r₃+r₁) =

In ΔABC , if a=7, b=7√3 and right angled at C, then c=

If α, β are solutions of a tan θ+b sec θ=c then tan (α+β) =

If I₁,I₂,I₃ are excentres of the triangle with vertices (0,0), (5,12), (16,12) then the orthocentre of ?I₁,I₂,I₃ is

An observer finds that the angular elevation of a tower is θ. On advancing ‘a’ metres towards the tower, the elevation is 45⁰ and on advancing b metres the elevation is 90⁰-θ. The height of the tower is