Maths-
General
Easy
Question
If
then A-B=
- 4C
- 2
- 3C
- 4C+1
Hint:
Take LCM on left hand side and simplify. Then equate the coefficients of RHS and LHS
The correct answer is: 2
Given :
![fraction numerator x to the power of 2 end exponent plus x plus 1 over denominator x to the power of 2 end exponent plus 2 x plus 1 end fraction equals A plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis to the power of 2 end exponent end fraction](data:image/png;base64,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)
Taking LCM on left hand side and simplifying
![rightwards double arrow fraction numerator x squared plus x plus 1 over denominator x squared plus 2 x plus 1 end fraction equals fraction numerator A left parenthesis x plus 1 right parenthesis squared space plus space B left parenthesis x plus 1 right parenthesis space plus space C over denominator left parenthesis x plus 1 right parenthesis squared end fraction
rightwards double arrow fraction numerator x squared plus x plus 1 over denominator left parenthesis x plus 1 right parenthesis squared end fraction equals fraction numerator A left parenthesis x squared plus 2 x space plus space 1 right parenthesis space plus space B left parenthesis x plus 1 right parenthesis space plus space C over denominator left parenthesis x plus 1 right parenthesis squared end fraction
rightwards double arrow fraction numerator x squared plus x plus 1 over denominator blank end fraction equals fraction numerator A left parenthesis x squared plus 2 x space plus space 1 right parenthesis space plus space B left parenthesis x plus 1 right parenthesis space plus space C over denominator blank end fraction](data:image/png;base64,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![rightwards double arrow space x squared space plus space x space plus space 1 space equals space A x squared space space plus space x left parenthesis 2 A space plus space B right parenthesis space plus space A space plus space B space plus space C
C o m p a r i n g space a n d space E q u a t i n g space t h e space c o e f f i c i e n t s space o f space L H S thin space a n d space R H S
A space equals space 1 space a n d space 2 A space plus space B space equals space 1 space
A equals space 1 space a n d space B space equals space minus 1
A space plus space B space plus space C space equals space 1 space rightwards double arrow C space equals space 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![A space minus space B space equals space 1 minus space left parenthesis negative 1 right parenthesis space equals space 2](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK8AAAAQCAYAAABgDi/VAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAkNJREFUeNrtmt9HQ2EYx1+TSbrpIpNJZGa6mNFFknSTJF0kkpkkkWTSRXSVLhKzq6SbZJIkkiS7iOkik0SSLqOL/oEu0sXMWN/XnnEcZ2dn2d7nnO18+bC9O8f7Y9+d93med0K4corWQEJxnwnq15WrfysMnpj6fqT+HacNm4wjBwrgC3yCW9DDMI4g2AZvDAaKMM1pEGQZ1noEXIEfkKfxxazePE83tTEbN2CwsLvghGEsZ2AFFBX2GSHzcs4pSyZWqQcQBZ30foDWIVrtxi7wDjJghtm8sv9zXdusQZtKqTRvEsSZ57TOEG8bqY98aaojcvgiOGQe8A7Y0rWdgskWMe8dGGWe0zC4t1EIaTrQNL32UYzJqUt6+npoC03VEIsXLWB388qYz8tsXi+Ng3PNy96sGELJ+PYF9GraXkGI0bwfmkn/Mj9xOcxbsMmc8sxr3g6eKZGruEVv6tr2RG21vnr+8jxk2PKvf1yUSkZBB5i3XutQUNSPnc0rc7AbMFHpghA9ZfUaE6XSFIeGDGKtGCUxbtjQGmFDPxk3IKqUQyp1xlUyi1KMq9UCOG6hsCFjtlU2ecIWou+6w+wiWefbN/n8AkwxDP4ALOnaUsJCra+JzGuHUlm8ht2uXvJRsm760JQnVbJ21mlyzXIVczdK15oErRvMidKBhbeFzNvoQworc+I4pEhbKRRId09XucZPWb9qfWtClxztAH5m09ar7FOLZJIaZpoT1/FwI0ptrhjk/jHHlaO1KtQf0SYpH7Kl/gDDW9AaIRqOWwAAASB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPi08L21vPjxtbz4mI3hBMDs8L21vPjxtaT5CPC9taT48bW8+JiN4QTA7PC9tbz48bW8+PTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1uPjE8L21uPjxtbz4tPC9tbz48bW8+JiN4QTA7PC9tbz48bW8+KDwvbW8+PG1vPi08L21vPjxtbj4xPC9tbj48bW8+KTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtbz4mI3hBMDs8L21vPjxtbj4yPC9tbj48L21hdGg+jqolBwAAAABJRU5ErkJggg==)
Related Questions to study
Maths-
, then ![16 A plus 9 B equals](data:image/png;base64,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)
, then ![16 A plus 9 B equals](data:image/png;base64,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)
Maths-General
Maths-
If
then K=
If
then K=
Maths-General
Maths-
If the remainders of the polynomial
when divided by
and
are 7,3 then the remainder of
when devided by
is
If the remainders of the polynomial
when divided by
and
are 7,3 then the remainder of
when devided by
is
Maths-General
Maths-
If
then ![fraction numerator 1 over denominator left parenthesis a x plus b right parenthesis to the power of 2 end exponent left parenthesis c x plus d right parenthesis end fraction equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJQAAAAnCAYAAADpYmEPAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA4ZJREFUeNrtnF+EVFEcx6+RkaxhZSUrkSQ9ZFhJRhL7kLUyeutxLEnWWoke1kgSax/2YfTSU1ayZM1DViJZa619SdY+JNFTRtaSJMkatt/Rd+x1nHPvmTv3z87t++HLzJ07M+d87++c8/uduzueR86I6qJNWkHi4LnolmiPVpA4YUARBhRhQBEGFCEMKMKAIgwoQhhQhAFF+iqQdBFCCCGEEBJnfsl8kxzcaKTyKUK45BFCCCEk8xxhV7QuOk1LkuWOaDYH/ZhFX2wU8PqHHPsQ5kHinBdt5GhwrKNPQfzJuQ8uHiT65eU+Meo3ZpkgRkRrAa9fEa32uQ9h3oR5kBhlGNkPqLxny/HcNZiqcxz9PdXHPrh6Y/MgUeZEkxkny65URYuO504ZciH1r+jLCKqD5EMcm4Ymb6ayyAffiC5bkteHom1URur3AE5q50xYGvwIr8Vt5gPRDNr1DXnQiiVALoneaTPTa1GpSx8UAwi4FrxoigYz8qDTnoboBzxYEj0R3Q/xIBV+ioqG48to9CCC6yVGgY6qlo75ntfQuSRGp2rDFxjXade8ZdYqom8dVDCdjeDDAPr4GMGozrknGs/IgwIGUQ2PSxhoe4bro3uQCm3DsZu4eH4WRGOGc6/hoipGI4yIbsz8LDqnHSsFmLarfU/Qval2QAneCGlXmh7UDTNRx5vhEA8yC6gVTJd+Vg1LXoe3qJzUsnjUwbwoNyELqGJ0DjsGVBQf1Hfu+Ja3INLwQPEVs6aLN5kElGmq10tz9fhXwGdMo+FR9j1cR+dFBHpYrhR1ujf5cKGL0jsND8qW7Q6bN5kseWpkVbRjO9rzimffWa4gKZzHUpmUmeqznxmO38Uy4Bpo3fgwhgQ8jLQ8uOH9+40rV28yScpN5XILS4l/3V4yvFft5bwSHcE0/N5huo9qZgOJqD4CtyxV3iT61osPag/nU8j70vSgashtPW//h9R69SAWTBt6quR9iqVO5U0vUCX5GcIxv3njlhEUh5lNJJ6jeD6MYzXL+d1u6tk2NjdR4R1CATDtm8nS9kAF7Udvfzd/BNV4y1IwZbKxqdgwrP0zGA11zFbbvrK0iItpqioWUfXEjfr+6wiqNi501XJu1NsOJh9OIG9pYzacyNADD9sTTew/qfZeFX3XVpRePIgFl5uiQ17/EPXGKG8Ox8htLx9/vjJnySf+Jx969cCJv5RUi5Zoci9qAAAA/nRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MTwvbW4+PG1yb3c+PG1vPig8L21vPjxtaT5hPC9taT48bWk+eDwvbWk+PG1vPis8L21vPjxtaT5iPC9taT48bXN1cD48bW8+KTwvbW8+PG1uPjI8L21uPjwvbXN1cD48bW8+KDwvbW8+PG1pPmM8L21pPjxtaT54PC9taT48bW8+KzwvbW8+PG1pPmQ8L21pPjxtbz4pPC9tbz48L21yb3c+PC9tZnJhYz48bW8+PTwvbW8+PC9tYXRoPq9hdg0AAAAASUVORK5CYII=)
If
then ![fraction numerator 1 over denominator left parenthesis a x plus b right parenthesis to the power of 2 end exponent left parenthesis c x plus d right parenthesis end fraction equals](data:image/png;base64,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)
Maths-General
Maths-
The partial fractions of
are
The partial fractions of
are
Maths-General
Maths-
The partial fractions of
are
The partial fractions of
are
Maths-General
Maths-
then ![A plus B minus C plus D equals](data:image/png;base64,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)
then ![A plus B minus C plus D equals](data:image/png;base64,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)
Maths-General
Maths-
The partial fractions of
are
The partial fractions of
are
Maths-General
Maths-
The partial fractions of
are
The partial fractions of
are
Maths-General
Maths-
If
then ![P left parenthesis x right parenthesis equals](data:image/png;base64,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)
If
then ![P left parenthesis x right parenthesis equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAQCAYAAABQrvyxAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAWFJREFUeNpjYCAPZAFxB4l6OqD6BhzoAfFxMvUeheqnKfgBxP+h+AsQrwJiRzRHGJBptjEQH6al41WA+AISnw2IXYD4PhBrQR1+lEI7DkM9QhMQAMRLsYgnA3EJEHcBcQ6FduSRkX+IBvVQh2LLgCCH7wBiWxwexOaoZqgcMrAE4r208gAovfuhiYkC8S0gFgbiT9BkhQ2cA2JxJH4iEE/Boo4Nag428J8IjBeAHCqJlumOImXiP3j0egBxH5TtQiCUf9Ei9JmgDgT58h3U4c1oHvpDwIzdQGwPLQiE6e0BcyDeT0ANviQEAgVQx+Er62mWhCKBeD4RIWyNQw4kvgaajCLxmEGzTDwJiNMIqMFVjCoB8SYg5gJiHiA+gycJ5UDNoTpYB8ReBNRgq8hApdQ2NAf7APFieldkoIzLQYS640hpnA3qcWks6pZDSya6NiWGRWOOGJBBRnOgi4g8RjIAALaEWNh1Mo6CAAAAcXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5QPC9taT48bW8+KDwvbW8+PG1pPng8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PC9tYXRoPlHu14IAAAAASUVORK5CYII=)
Maths-General
Maths-
Let a,b,c such that
then ,
?
Let a,b,c such that
then ,
?
Maths-General
Maths-
If
then B=
If
then B=
Maths-General
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