Maths-
General
Easy
Question
Let
. If
be the roots of quadratic equation
and
be the roots of quadratic equation
, then the value of ‘
’ if
be arithmetic mean of
and
is
- 83
The correct answer is: 83
For the equation
,
The product of roots, 
And for the equation
,
The product of roots 
Hence, 

From
we have
and from
we have
Hence, from sum of roots
, we have
and 
is arithmetic mean of
and 


Related Questions to study
Maths-
If
and
form two arithmetic progressions of the same common difference, then
are in A.P. if
If
and
form two arithmetic progressions of the same common difference, then
are in A.P. if
Maths-General
Maths-
If
and
, then the sum of the series
is
If
and
, then the sum of the series
is
Maths-General
Maths-
The value of
is equal to
The value of
is equal to
Maths-General
Maths-
The sum of series
is
The sum of series
is
Maths-General
Maths-
If
for
then 
If
for
then 
Maths-General
Maths-
The sum to 50 terms of the series
is given by
The sum to 50 terms of the series
is given by
Maths-General
Maths-
The line
meets
-axis at
and
-axis at
is the mid-point of
;
is the foot of the perpendicular from
to
:
is that of
from
;
is that of
from
;
is that of
from
;
is that of
from
; and so on.
If
denotes the
foot of the perpendicular on
: then
is
The line
meets
-axis at
and
-axis at
is the mid-point of
;
is the foot of the perpendicular from
to
:
is that of
from
;
is that of
from
;
is that of
from
;
is that of
from
; and so on.
If
denotes the
foot of the perpendicular on
: then
is
Maths-General
Maths-
Let
satisfies the equation
and
. Sum of all possible value(s) of
, is
Let
satisfies the equation
and
. Sum of all possible value(s) of
, is
Maths-General
Maths-
The maximum sum of the series
is
The maximum sum of the series
is
Maths-General
Maths-
The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then common ratio of the G.P. is
The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then common ratio of the G.P. is
Maths-General
Maths-
If
and
are in A.P. and
and
are in G.P., then
is
If
and
are in A.P. and
and
are in G.P., then
is
Maths-General
Maths-
The coefficient of
in the product
is
The coefficient of
in the product
is
Maths-General
Maths-
If
denotes the
term of the series
then
is
If
denotes the
term of the series
then
is
Maths-General
Maths-
An infinite GP has first term
and sum 5, then
An infinite GP has first term
and sum 5, then
Maths-General
Maths-
If
and
are in A.P. then
is equal to
If
and
are in A.P. then
is equal to
Maths-General