Home
Class 12
MATHS
If a^2,b^2,c^2 are in A.P. prove that 1/...

If `a^2,b^2,c^2` are in A.P. prove that `1/(b+c),1/(c+a),1/(a+b)`are in A.P.

Promotional Banner

Similar Questions

Explore conceptually related problems

If (a-c)^2,(c-a)^2,(a-b)^2 are in A.P.,prove that 1/(b-c),1/(c-a),1/(a-b) are in A.P.

If (b+c)/a,(c+a)/b,(a+b)/c are in A.P.,prove that 1/a,1/b,1/c are in A.P. given a+b+cne0.

If 1/a,1/b,1/c are in A.P. and a+b+cne0_2 prove that (b+c)/a,(c+a)/b,(a+b)/c are in A.P.

If the side lengths a,b and c are in A.P. prove that cot (A/2),cot (B/2),cot (C/2) are in A.P .

If a^2,b^2,c^2 being A.P prove that cotA,cotB,cotC are also In A.P.

If a,b,c,d are in G.P., prove that (a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2.

If the side lengths a,b and c are in A.P. then prove that cos ((A-C)/2) = 2sin (B/2)

If abs((a,b,a-b),(b,c,b-c),(2,1,0))=0 , then prove that a,b,c are in GP.