If a,b,c,d are such unequal real numbers...

If a,b,c,d are such unequal real numbers that `(a^(2)+b^(2)+c^(2))p^(2)-2 (ab+bc+cd) p+ (b^(2)+c^(2)+d^(2)) le 0` then a,b,c, d are in -

A

A.P

B

G.P

C

H.P.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

B

`(ap-b)^(2)+(bp-c)^(2)+(cp-d)^(2)leo`
`rArr =p=(b)/(a)=(c)/(b)=(d)/(c)`
`rArr` a,b,c,d are in G.P.

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