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Statement 1:

Let  and  be distinct real number such that , then  are in G.P. and when

Statement 2:

If , then  are in G.P.

a)

 Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

b)

 Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

c) 

Statement 1 is True, Statement 2 is False

d)

Statement 1 is False, Statement 2 is True


Question ID - 51107 | Toppr Answer

Statement 1:

Let  and  be distinct real number such that , then  are in G.P. and when

Statement 2:

If , then  are in G.P.

a)

 Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

b)

 Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

c) 

Statement 1 is True, Statement 2 is False

d)

Statement 1 is False, Statement 2 is True

1 Answer - 5876 Votes

3537

Answer Key : (b) -

(b)

The given inequality is

   (1)

But each one of the terms on the L.H.S. is a perfect square and hence is positive or zero

Therefore (1) holds only if

Hence,  are in G.P.



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