Maths-
General
Easy
Question
Let a,b,c such that
then ,
?
Hint:
Take LCM on RHS, then equate the coefficients by comparing LHS and RHS and find the value of a,b, c
The correct answer is: ![fraction numerator 1 over denominator 15 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAjCAYAAACHIWrsAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJZJREFUeNpjYCAdqAFxLRBfYKATWAzEaUD8n4HOYNTCUQtHLRxBFv7HgkfBKBi41EdNPApGAW0AoSYh1VMloSbhf1rm0VEL6WbhLyD+BMTbgLgIiHno0ZxgAWJjaIq+AcQa9Gy/uAHxQXo3mH7Q00IdIL5LKwvXAbElEDNBsQfUsiBaNQlDgfgWEP8B4ndAvAqITfEZCABL51TtAiZ9xgAAAGN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjE8L21uPjxtbj4xNTwvbW4+PC9tZnJhYz48L21hdGg+yQiHeQAAAABJRU5ErkJggg==)
Given :
![fraction numerator 1 over denominator left parenthesis 1 minus x right parenthesis left parenthesis 1 minus 2 x right parenthesis left parenthesis 1 minus 3 x right parenthesis end fraction equals fraction numerator a over denominator 1 minus x end fraction plus fraction numerator b over denominator 1 minus 2 x end fraction plus fraction numerator c over denominator 1 minus 3 x end fraction](data:image/png;base64,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)
Taking LCM on RHS
![rightwards double arrow fraction numerator 1 over denominator left parenthesis 1 minus x right parenthesis left parenthesis 1 minus 2 x right parenthesis left parenthesis 1 minus 3 x right parenthesis end fraction equals space fraction numerator a left parenthesis 1 minus 2 x right parenthesis left parenthesis 1 minus 3 x right parenthesis space plus space b left parenthesis 1 minus x right parenthesis left parenthesis 1 minus 3 x right parenthesis space plus space c left parenthesis 1 minus x right parenthesis left parenthesis 1 minus 2 x right parenthesis over denominator left parenthesis 1 minus x right parenthesis left parenthesis 1 minus 2 x right parenthesis left parenthesis 1 minus 3 x right parenthesis end fraction](data:image/png;base64,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)
Simplifying
![rightwards double arrow fraction numerator 1 over denominator left parenthesis 1 minus x right parenthesis left parenthesis 1 minus 2 x right parenthesis left parenthesis 1 minus 3 x right parenthesis end fraction equals space fraction numerator a left parenthesis 6 x squared space minus space 5 x space plus 1 right parenthesis space plus space b left parenthesis 3 x squared space minus space 4 x space plus 1 right parenthesis space plus space c left parenthesis 2 x squared space minus 3 x space plus 1 right parenthesis over denominator left parenthesis 1 minus x right parenthesis left parenthesis 1 minus 2 x right parenthesis left parenthesis 1 minus 3 x right parenthesis end fraction](data:image/png;base64,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)
Cancelling denominators on both side
![rightwards double arrow 1 over blank equals space fraction numerator a left parenthesis 6 x squared space minus space 5 x space plus 1 right parenthesis space plus space b left parenthesis 3 x squared space minus space 4 x space plus 1 right parenthesis space plus space c left parenthesis 2 x squared space minus 3 x space plus 1 right parenthesis over denominator blank end fraction](data:image/png;base64,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)
Further simplifying
![rightwards double arrow 1 over blank equals space fraction numerator x squared left parenthesis 6 a space plus 3 b space plus 2 c right parenthesis space plus space x left parenthesis negative 5 a space minus space 4 b space minus 3 c right parenthesis space plus space a space plus space b space plus c over denominator blank end fraction](data:image/png;base64,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)
Equating coefficients by comparing LHS and RHS
![6 a space plus space 3 b space plus space 2 c space equals space 0 space............. left parenthesis 1 right parenthesis
minus 5 a space minus space 4 b space minus space 3 c space equals space 0 space rightwards double arrow 5 a space plus space 4 b space plus space 3 c space equals space 0 space...... space left parenthesis 2 right parenthesis
a space plus space b space plus space c space equals space 1 space.................. left parenthesis 3 right parenthesis](data:image/png;base64,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)
Multiplying by 5 in equation 3 and subtracting equation 2 from it, we get
![space space 5 a space plus space 4 b space plus space 3 c space equals space 0 space
minus
space space 5 a space plus 5 space b space plus 5 space c space space equals 5
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
space space space space space space space space space minus b space minus 2 c space equals space minus 5 space rightwards double arrow space b space plus space 2 c space equals space 5 space........ space left parenthesis 4 right parenthesis](data:image/png;base64,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)
Multiplying by 6 in equation 3 and subtracting equation 1 from it, we get
![space space space space 6 a space plus space 3 b space plus space 2 c space equals space 0
minus
space space space space 6 a space plus space 6 b space plus space 6 c space equals space 6
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
space space space space space space space space space space space minus 3 b space minus 4 c space equals space minus 6 space rightwards double arrow space 3 b space plus space 4 c space equals space 6 space...... space left parenthesis 5 right parenthesis](data:image/png;base64,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)
Multiplying by 2 in equation 4 and subtracting equation 5 from it, we get
Multiplying by 6 in equation 3 and subtracting equation 1 from it, we get
2b + 4c = 10
-
3b + 4c = 6
______________
- b = 4
b = -4
Substituting value of b, we get c = 9/2 and a = 1/2
![a over 1 space plus space b over 3 space plus space c over 5 space equals space 1 half space plus space fraction numerator negative 4 over denominator 3 end fraction space plus space 9 over 10 space equals space 2 over 30 space equals space 1 over 15](data:image/png;base64,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)
Related Questions to study
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If
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Maths-General
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If the remainders of the polynomial f(x) when divided by
are 2,5 then the remainder of
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Maths-General
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Assertion :
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Reason : f(x) = sgn x is always a positive function.
Assertion :
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=
=
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If
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is
is
maths-General
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dx equals:
dx equals:
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If I =
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maths-General
maths-
The indefinite integral of
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maths-General
maths-
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, x
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Statement II :
.
Statement I : y = f(x) =
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Statement II :
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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