If (|r| ) land (x=a+ a r + a r^2 + ) to ( ), ( y = b - b r + b r ^2 - . to ) and (z=c+ c r^2 + c r^4 + ) to ( ), then ( x y z = )

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If (|r| > ) land (x=a+ a r + a r^2 + ) to ( ), ( y = b - b r + b r ^2 - . to ) and (z=c+ c r^2 + c r^4 + ) to ( ), then ( x y z = )

Quantrex Academy · Accepted Answer

Correct answer: A. ( ab c )

Since (| r | > 1, 1 | r | < 1 ) ( x = a 1- 1 r = ar r -1 ) Similarly, (y= b 1- (- 1 r ) = b r r+1 ) and ( gathered z= c 1- 1 r^2 = cr^2 r^2-1 ...(1) x y= a r r-1 b r r+1 = a b r^2 r^2-1 ...(2) gathered ) Dividing (2) by (1), we get ( xy z = abr ^2 r ^2-1 r ^2-1 cr ^2 = ab c )

If (|r| > ) land (x=a+ a r + a r^2 + ) to ( ), ( y = b - b r + b r ^2 - . to ) and (z=c+ c r^2 + c r^4 + ) to ( ), then ( x y z = )

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