In `Delta ABC`, if `(a-b)(s-c)=(b-c)(s-a)` then `r_1, r_2, r_3` are in

Statement I In a Delta ABC, if a lt b lt c and ri si inradius and r_(1), r_(2) ,r_(3) are the exradii opposite to angle A,B,C respectively, then r lt r_(1) lt r_(2) lt r_(3). Statement II For, DeltaABC r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1)=(r_(1)r_(2)r_(3))/(r)

In DeltaABC, let b=6, c=10and r_(1) =r_(2)+r_(3)+r then find area of Delta ABC.

Statement I If the sides of a triangle are 13, 14 15 then the radius of in circle =4 Statement II In a DeltaABC, Delta = sqrt(s (s-a) (s-b) (s-c)) where s=(a+b+c)/(2) and r =(Delta)/(s)

In a triangle ABC, if (a+b+c)(a+b-c)(b+c-a)(c+a-b)=(8a^2b^2c^2)/(a^2+b^2+c^2) then the triangle is

In a Delta ABC, c cos ^(2)""(A)/(2) + a cos ^(2) ""(C ) /(2)=(3b)/(2), then a,b,c are in

In any Delta ABC, prove the following : r_1=rcot(B/2)cot(C/2)

Six resistances each of v ale r= 6Omega are connected between points A,B and C as shown in the figure if R_(1),R_(2) and R_(3) are the net resistances between A and B, between B and C and between A and C respectively, the R_(1):R_(2):R_(3) will be equal to

Show that the points P(a+2b+c),Q(a-b-c),R(3a+b+2c) and S(5a+3b+5c) are coplanar given that a,b and c are non-coplanar.

Let A = {a,b,c} and the relation R be defined on A as follows : R = {(a,a),(b,c),(a,b)} Then , write minimum number of ordered pairs to be added in R to make R reflexive and transitive.

Let N denote the set of all natural numbers and R be the relation on NxN defined by (a , b)R(c , d) a d(b+c)=b c(a+d)dot Check whether R is an equivalence relation on NxNdot