the sum of squares of three distinct real numbers which form an increasing GP is S^2(common ratio r) if the sum of numbers is tS,then 1.If r=3 then t^2 cannot lie in A.[1/3,1] B.(1,2) C.[1/3,3] D.(1,3) 2.if t^2=2 then the value of common ratio r is greater than A. 9 B. 4 C. 2 D. 3

Question

Vikas TU · Answer

a,b,c be in G.P.

then,

b/a = c/b = r

and

condtns. given are:

a^2 + b^2 + c^22 = S^2

and

a + b + c = tS

if r = 3

then

b = 3a and c = 9a

therefore the eqn.s becomes:

13a = tS

and

91a^2 = S^2

dividing them it comes,

t = 13/root91

or

t^2 = 169/91 which is approx. ====> 1 point something

that satiffies hence the B,C and D options excluding A.

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the sum of squares of three distinct real numbers which form an increasing GP is S^2(common ratio r) if the sum of numbers is tS,then 1.If r=3 then t^2 cannot lie in A.[1/3,1] B.(1,2) C.[1/3,3] D.(1,3) 2.if t^2=2 then the value of common ratio r is greater than A. 9 B. 4 C. 2 D. 3

the sum of squares of three distinct real numbers which form an increasing GP is S^2(common ratio r) if the sum of numbers is tS,then
1.If r=3 then t^2 cannot lie in
A.[1/3,1] B.(1,2) C.[1/3,3] D.(1,3)
2.if t^2=2 then the value of common ratio r is greater than
A. 9 B. 4 C. 2 D. 3

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the sum of squares of three distinct real numbers which form an increasing GP is S^2(common ratio r) if the sum of numbers is tS,then 1.If r=3 then t^2 cannot lie in A.[1/3,1] B.(1,2) C.[1/3,3] D.(1,3) 2.if t^2=2 then the value of common ratio r is greater than A. 9 B. 4 C. 2 D. 3

the sum of squares of three distinct real numbers which form an increasing GP is S^2(common ratio r) if the sum of numbers is tS,then1.If r=3 then t^2 cannot lie inA.[1/3,1] B.(1,2) C.[1/3,3] D.(1,3)2.if t^2=2 then the value of common ratio r is greater thanA. 9 B. 4 C. 2 D. 3

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the sum of squares of three distinct real numbers which form an increasing GP is S^2(common ratio r) if the sum of numbers is tS,then
1.If r=3 then t^2 cannot lie in
A.[1/3,1] B.(1,2) C.[1/3,3] D.(1,3)
2.if t^2=2 then the value of common ratio r is greater than
A. 9 B. 4 C. 2 D. 3