Maths-
General
Easy
Question
If
then B=
- 2
- 1
- -1
- -2
Hint:
Taking LCM on RHS and simplifying , then take any value of x and find a,
Equate the coefficients and find the required value.
The correct answer is: -1
Given :
![fraction numerator 2 x plus 1 over denominator left parenthesis x minus 1 right parenthesis open parentheses x to the power of 2 end exponent plus 2 close parentheses end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B x plus c over denominator x to the power of 2 end exponent plus 2 end fraction](data:image/png;base64,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)
Take LCM on RHS
![rightwards double arrow fraction numerator 2 x plus 1 over denominator left parenthesis x minus 1 right parenthesis open parentheses x squared plus 2 close parentheses end fraction equals fraction numerator A open parentheses x squared plus 2 close parentheses space plus left parenthesis B x space plus c right parenthesis space left parenthesis x minus 1 right parenthesis over denominator left parenthesis x minus 1 right parenthesis open parentheses x squared plus 2 close parentheses end fraction
C a n c e l l i n g space d e n o m i n a t o r s space o n space b o t h space s i d e
space
rightwards double arrow 2 x plus 1 space equals space A open parentheses x squared plus 2 close parentheses space plus left parenthesis B x space plus c right parenthesis space left parenthesis x minus 1 right parenthesis
W h e n space x space equals space 1
rightwards double arrow 2 plus 1 space equals space A open parentheses 1 plus 2 close parentheses space plus space 0
rightwards double arrow space A space equals space 1
E q u a t i n g space c o e f f i c i e n t s space o f space x squared space a n d space x space b y space c o m p a r i n g space L H S thin space a n d space R H S comma space w e space g e t
rightwards double arrow A space plus space B space equals space 0 space rightwards double arrow space B space equals space minus A
rightwards double arrow T h u s comma space B space equals space minus 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)
Related Questions to study
Maths-
If the remainders of the polynomial f(x) when divided by
are 2,5 then the remainder of
when divided by
is
If the remainders of the polynomial f(x) when divided by
are 2,5 then the remainder of
when divided by
is
Maths-General
Maths-
Assertion :
can never become positive.
Reason : f(x) = sgn x is always a positive function.
Assertion :
can never become positive.
Reason : f(x) = sgn x is always a positive function.
Maths-General
Maths-
=
=
Maths-General
maths-
Evaluate
dx
Evaluate
dx
maths-General
maths-
If
. The integral of
with respect to
is -
If
. The integral of
with respect to
is -
maths-General
maths-
is
is
maths-General
maths-
dx equals:
dx equals:
maths-General
maths-
If I =
, then I equals:
If I =
, then I equals:
maths-General
maths-
The indefinite integral of
is, for any arbitrary constant -
The indefinite integral of
is, for any arbitrary constant -
maths-General
maths-
If f
= x + 2 then
is equal to
If f
= x + 2 then
is equal to
maths-General
maths-
Let
, then
is equal to:
Let
, then
is equal to:
maths-General
maths-
Statement I : y = f(x) =
, x
R Range of f(x) is [3/4, 1)
Statement II :
.
Statement I : y = f(x) =
, x
R Range of f(x) is [3/4, 1)
Statement II :
.
maths-General
maths-
Statement I : Function f(x) = sinx + {x} is periodic with period ![2 pi](data:image/png;base64,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)
Statement II : sin x and {x} are both periodic with period
and 1 respectively.
Statement I : Function f(x) = sinx + {x} is periodic with period ![2 pi](data:image/png;base64,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)
Statement II : sin x and {x} are both periodic with period
and 1 respectively.
maths-General
maths-
Statement 1 : f : R
R and
is bijective.
Statement 2 :
is bijective.
Statement 1 : f : R
R and
is bijective.
Statement 2 :
is bijective.
maths-General
maths-
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
maths-General