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  • If a,b,c,d are in G.P., then which of the following are also in G.POption: 1 <img alt="abc, abd,acd,bcd" src="/latex-image/?abc%2C%20abd%2Cacd%2Cbcd"

If a,b,c,d are in G.P., then which of the following are also in G.P

Option: 1

abc, abd,acd,bcd


Option: 2

a+2b^2,b+2c^2, c+2d^2


Option: 3

a+bc, b+cd, c+da


Option: 4

None of these


Answers (1)

best_answer

Given a, b, c, d  are in G.P

So, \frac{a}{abcd},\frac{b}{abcd},\frac{c}{abcd},\frac{d}{abcd}   are in G.P.      (Dividing all terms by same constant gives a new G.P.)

\Rightarrow \frac{1}{bcd},\frac{1}{acd},\frac{1}{abd},\frac{1}{abc}  are in G.P.

So, bcd, acd, abd, abc  are in G.P     (Each term is raised to the same power of -1)

and abc,abd,acd,bcd   are in G.P .

(Reverse order of GP is a GP)

Posted by

Rakesh

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