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 |
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 |
(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.