The value of `1/(r_(1)^(2))+1/(r_(2)^(2))+1/(r_(2)^(3))+1/(r^(2))`, is

Value of 1/(r_(1)^2)+ 1/(r_(2)^2)+ 1/(r_(3)^2)+ 1/(r_()^2) is :

In a triangle ABC,if (1)/(r_(1)^(2))+(1)/(r_(2)^(2))+(1)/(r_(3)^(2))+(1)/(r^(2))=

Let r_(1),r_(2),r_(3) be the three (not necessarily distinct) solution to the equation x^(3)+4x^(2)-ax+1=0. If a can be any real number,then find the minimum value of (r_(1)+(1)/(r_(1)))^(2)+(r_(2)+(1)/(r_(2)))^(2)+(r_(3)+(1)/(r_(3)))^(2)

In a triangleABC , if 1/r^(2) + 1/r_(1)^(2) + 1/r_(2)^(2) + 1/r_(3)^(2) = (a^(2) + b^(2) + c^(2))/(Delta^(n)) , then n is equal to ………..

If r,r_(1) ,r_(2), r_(3) have their usual meanings , the value of 1/(r_(1))+1/(r_(2))+1/(r_(3)) , is

The value of sum_(r=1)^(oo)tan^(-1)((2r-1)/(r^(4)-2r^(3)+r^(2)+1)) is equal to

In triangleABC , If r_(1), r_(2), r_(3) are exradii opposites to angles A,B and C respectively. Then (1/r_(1) +1/r_(2)) (1/r_(2)+1/r_(3)) (1/r_(3)+1/r_(1)) is equal to

Three circles with radius r_(1), r_(2), r_(3) touch one another externally. The tangents at their point of contact meet at a point whose distance from a point of contact is 2 . The value of ((r_(1)r_(2)r_(3))/(r_(1)+r_(2)+r_(3))) is equal to

If r/(r_(1))=(r_(2))/(r_(3)) , then