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  • 1). If a,b,c are in A.P , P is G.M between a and b ,Q is G.M between b and c,then P²,b²,Q² are in ___--(a).A.P (b) G.P (c) H.P (d) None

1). If a,b,c are in A.P , P is G.M between a and b ,Q is G.M between b and c,then P²,b²,Q² are in ___--(a).A.P (b) G.P (c) H.P (d) None

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a,b,c;are;in;A.P.\*Rightarrow 2b=a+c\*Rightarrow b;is;A.M.;of;a;and;b\* Given;that;P^2;is;G.M.; between;a;and;b\*Rightarrow P^2=ab \*Q^2;is;G.M.; between;b;and;c\*Rightarrow Q^2=bc\* P^2+Q^2=ab+bc=b(a+c)=2b^2\* Rightarrow b;is;A.M.;of;P^2;and;Q^2;so,;P^2,b^2;and;Q^2;are;in; A.P.

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Deependra Verma

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