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Suppose a(1),a(2),a(3) are in A.P. and b...

Suppose `a_(1),a_(2),a_(3)` are in A.P. and `b_(1),b_(2),b_(3)` are in H.P and let
`Delta=|{:(,a_(1)-b_(1),a_(1)-b_(2),a_(1)-b_(3)),(,a_(2)-b_(1),a_(2)-b_(2),a_(2)-b_(3)),(,a_(3)-b_(1),a_(3)-b_(2),a_(3)-b_(3)):}|` then,

A

`/_\ "is independent of "a_(1),a_(2),a_(3),b_(1),b_(2),b_(3)`

B

`a_(1)-/_\,a_(2)-2/_\,a_(3)-3/_\` are in H.P.

C

`b_(1)+/_\,b_(2)+/_\^(2),b^(3)+/_\` are in H.P.

D

none of these

Text Solution

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The correct Answer is:
A, B, C

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