If `(bx)/c+(cy)/a+(az)/b=((a^2+b^2+c^2)/k)` then the value of k is
(A) R
(B) S
(C) 2R
(D) `3/2R`

Consider a triangle ABC, where c,y,z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a,b, c respectively. Let the letters R,r S,Delta denote the circumradius, inradius semi-perimeter and area of the triangle respectively. If (bx)/(c) +(cy)/(a)+(az)/(b) =(a^(2) +b^(2)+c ^(2))/(k), then the value of k is

If cotA+cotB+cotC = k(1/x^2+1/y^2+1/z^2) then the value of k is (A) R^2 (B) 2R (C) /_\ (D) a^2+b^2+c^2

If |(a^2,b^2,c^2),((a+1)^2 ,(b+1)^2,(c+1)^2),((a-1)^2 ,(b-1)^2,(c-1)^2)| =k(a-b)(b-c)(c-a) then the value of k is a. 4 b. -2 c.-4 d. 2

If in a triangle A B C ,(1+cosA)/a+(1+cosB)/b+(1+cosC)/c =(k^2(1+cosA)(1+cosB)(1+cosC)/(a b c) , then k is equal to (a) 1/(2sqrt(2)R) (b) 2R (c) 1/R (d) none of these

If p/a + q/b + r/c=1 and a/p + b/q + c/r=0 , then the value of p^(2)/a^(2) + q^(2)/b^(2) + r^(2)/c^(2) is:

If a /_\ ABC, if r=r_2+r_3-r_1 and /_Agt pi/3 then the range of S/a is equal to (A) (1/2, 2) (B) (1/2,∞) (C) (1/2,3) (D) (3,∞)

If |b+c c+a a+b a+b b+c c+a c+a a+b b+c|=k|ab c c a b b c a| , then value of k is 1 b. 2 c. 3 d. 4

If a, b, c in R^(+) such that a+b+c=27 , then the maximum value of a^(2)b^(3)c^(4) is equal to

If a=sum_(r=1)^oo(1/r)^2, b=sum_(r=1)^oo1/((2r-1)^2), then a/b= (A) 5/4 (B) 4/5 (C) 3/4 (D) none of these

If b-c , bx-cy , bx^(2)-cy^(2) ( b,c ne 0 ) are in G.P , then the value of ((bx+cy)/(b+c))((bx-cy)/(b-c)) is