Question

| 47. If a, b, c are in G.P. and alx=bly=cl/z then x, y, z are in (a)A.P. (b) GP. (C) H.P. (d) none of these TL 48

JEE/Engineering Exams

Maths

Solution

121

4.0 (1 ratings)

As ( a, b, c ) are in ( cos p Rightarrow b^{2}=a c ) ( begin{array}{l}text { det } a^{1 / x}=b^{1 / y}=c^{1 / 2}=k Rightarrow a^{1 / x}=k & b^{1 / y}=k Rightarrow a=k^{x} & b=k^{y} quad cdots=k^{2}end{array} ) ( b^{2}=a times c ) ( k^{2 y}=k^{x} times k^{2} ) ( k^{2 y}=k^{x+2} ) ( Rightarrow 2 y=x+2 ) ( x, y_{1} z ) are in ( A cdot P )