If in a triangle `A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2,` then the sides `a ,b ,a n dc` `` are in A.P. b. are in G.P. c. are in H.P. d. satisfy `a+b=cdot`

In DeltaABC, acos^(2)C/2+ccos^(2)A/2=(3b)/(2) , then prove that the sides of DeltaABC , are in A.P.

If in a triangle A B C ,bcos^2A/2+"a c o s"^2B/2=3/2c , then a ,c ,b are: in A.P. b. in G.P. c. in H.P. d. none of these

If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then a,c,e are in

In a triangle A B C , if cos A+2\ cos B+cos C=2. prove that the sides of the triangle are in A.P.

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

If acos^2(C/2)+c cos^2(A/2)=(3b)/2 . To prove: cot(A/2),cot(B/2),cot(C/2) are in A.P.

In triangleABC if 2c cos^2(A/2)+2acos^2(C/2)-3b=0 prove that a, b, c are in A.P.

If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a ,b ,a n dc are in A.P. (C). b=a+c (D). 3a=b+c

If a , b , c ,d and p are distinct real numbers such that (1987, 2M) (a^2+b^2+c^2)p^2-2(a b+b c+c d)P+(b^2+c^2+d^2)geq0,t h e na , b , c , d are in AP (b) are in GP are in HP (d) satisfy a b=c d

If cos A+cos B+2cos C=2 then the sides of the A B C are in (a)A.P. (b) G.P. (c) H.P. (d) none