The numbers 
and 
are between 2 and 18, such that
1. Their sum is 25
2. The numbers 
and 
are consecutive terms of an A.P.
3. The numbers 
are consecutive terms of a G.P.
The value of 
is
a)
500
b)
450
c)
720
d)
None of these
and are between 2 and 18, such that and are consecutive terms of an A.P. are consecutive terms of a G.P.The value of is
a)
500
b)
450
c)
720
d)
None of these
Question ID - 51132 | SaraNextGen Top Answer The numbers and are between 2 and 18, such that
1. Their sum is 25
2. The numbers and are consecutive terms of an A.P.
3. The numbers are consecutive terms of a G.P.
The value of is
a)
500
b)
450
c)
720
d)
None of these
The numbers and are between 2 and 18, such that
1. Their sum is 25
2. The numbers and are consecutive terms of an A.P.
3. The numbers are consecutive terms of a G.P.
|
The value of |
|||||||
|
a) |
500 |
b) |
450 |
c) |
720 |
d) |
None of these |
(d)
We have,
(1)
(2)
(3)
Eliminating 
from (1) and (2), we have
Then from (3),
Now, 
is not possible since it does not lie between 2 and 18. Hence, 
. Then from (3), 
and finally from (2), 
Thus, 
and 
. Hence, 
Also, equation 
is 
, which has imaginary roots
If 
are roots of the equation 
, then sum of product of roots taken two at a time is 