[" Let the numbers "2,b,c" be in an A.P.and "],[A=[[1,1,1],[2,b,c],[4,b^(2),c^(2)]]]

Let the numbers 2, b, c be in an AP and A= [{:(1, 1,1), (2, b, c),(4, b^(2), c^(2)):}] If "det"(A) in [2, 16] , then c lies in the interval.

If three positive numbers a,b,c are in A.P.and (1)/(a^(2)),(1)/(b^(2)),(1)/(c^(2)) also in A.P. then

If a,b,c are distinct real numbers such that a, b,c are in A.P.and a^(2),b^(2),c^(2) are in H.P, then

Let a,b>0, let 5a-b,2a+b,a+2b be in A.P.and (b+1)^(2),ab+1,(a-1)^(2) are in G.P. then the value of (a^(-1)+b^(-1)) is

If the angles A,B,C of a triangle are in A.P.and sides a,b,c are in G.P. ,then a2,b2,c2 are in

If a,b,c are in A.P.and f(x)= |(x+a,x^2+1,1),(x+b, 2x^2-1,1),(x+c,3x^2-2 , 1)| , then f'(x) is :

If a,b,c are in A.P.and x,y,z in G.P.prove that x^(b-c)*y^(c-a)*z^(a-b)=1

If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in H.P. then prove that either a^(2),b^(2),c^(2) are in H.P.a=b=c or a,b,-(c)/(2) form a G.P.

a,b,c are real numbers forming an A.P.and 3+a,2+b,3+c are in GP,then minimum value of ac is