If `a ,b ,c ,a n dd` are in H.P., then find the value of `(a^(-2)-d^2)/(b^(-2)-c^2)` .

If a,b,c and the d are in H.P then find the vlaue of (a^(-2)-d^(-2))/(b^(-2)-c^(-2))

If a, b, c are in G.P. and b-c, c-a, a-b are in H.P. then find the value of ((a+b+c)^(2))/(b^(2)) .

If a^(-1),b^(-1),c^(-1),d^(-1) are in A.P then find the value of (a^(-2)-d^(-2))(b^(-2)-c^(-2))^(-1)

If a,b,c,d are in G.P., then the value of (a-c)^2+(b-c)^2+(b-d)^2-(a-d)^2 is (A) 0 (B) 1 (C) a+d (D) a-d

If a, b, c, d are in G.P., then prove that: (b-c)^(2)+(c-a)^(2)+(d-b)^(2)=(a-d)^(2)

If a,b, and c are in H.P.then th value of ((ac+ab-bc)(ab+bc-ac))/((abc)^(2)) is ((a+c)(3a-c))/(4a^(2)c^(2)) b.(2)/(bc)-(1)/(b^(2)) c.(2)/(bc)-(1)/(a^(2)) d.((a-c)(3a+c))/(4a^(2)c^(2))

If a = 2 , b = -2 and c = 2 , then find the value of a^2b + b^2c + c^2a

If positive numbers a, b, c are in H.P, then minimum value of (a+b)/(2a-b)+(c+b)/(2c-b) is

if ABC is a triangle and tan((A)/(2)),tan((B)/(2)),tan((C)/(2)) are in H.P. Then find the minimum value of cot((B)/(2))

If a, b, c are in H.P., then the equation a(b-c) x^(2) + b(c-a)x+c(a-b)=0