Question
If
where a<1, b<1 then
- xy+xz=yz+x
- xyz=x+y+z
- xy+yz=xz+y
- yz+zx=xy+z
Hint:
We can write x as
![x space equals space fraction numerator 1 over denominator 1 minus a end fraction space
rightwards double arrow a space equals space fraction numerator x minus 1 over denominator x end fraction](data:image/png;base64,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)
Similarly, we can write y as
![y space equals space fraction numerator 1 over denominator 1 minus b end fraction space
rightwards double arrow b space equals space fraction numerator y minus 1 over denominator y end fraction](data:image/png;base64,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)
Similarly, we can write z as
![z space equals space fraction numerator 1 over denominator 1 minus a b end fraction space
rightwards double arrow a b space equals space fraction numerator z minus 1 over denominator z end fraction](data:image/png;base64,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)
Multiply ab and equate the values and simplify
The correct answer is: yz+zx=xy+z
Given :
, where a<1, b<1
To find : A relationship between x, y and z
We can write x as
![x space equals space fraction numerator 1 over denominator 1 minus a end fraction space
rightwards double arrow a space equals space fraction numerator x minus 1 over denominator x end fraction](data:image/png;base64,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)
Similarly, we can write y as
![y space equals space fraction numerator 1 over denominator 1 minus b end fraction space
rightwards double arrow b space equals space fraction numerator y minus 1 over denominator y end fraction](data:image/png;base64,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)
Similarly, we can write z as
![z space equals space fraction numerator 1 over denominator 1 minus a b end fraction space
rightwards double arrow a b space equals space fraction numerator z minus 1 over denominator z end fraction](data:image/png;base64,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)
![a space cross times space b space equals space open parentheses fraction numerator x minus 1 over denominator x end fraction close parentheses cross times space open parentheses fraction numerator y minus 1 over denominator y end fraction close parentheses space equals space open parentheses fraction numerator z minus 1 over denominator z end fraction close parentheses](data:image/png;base64,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)
Solving the above, we get
![x y z space minus space x y space equals space left parenthesis x z minus z right parenthesis left parenthesis y minus 1 right parenthesis
x y z space minus space space x y space equals space x y z space minus x z space minus z y space plus space z
F u r t h e r space s i m p l i f y i n g comma space w e space g e t
left parenthesis x y space plus space z right parenthesis space equals left parenthesis z x space plus y z right parenthesis](data:image/png;base64,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)
Related Questions to study
If l, m, n are the
terms of a G.P which are +ve, then ![open vertical bar table attributes columnalign left end attributes row cell l o g invisible function application l end cell p 1 row cell l o g invisible function application m end cell q 1 row cell l o g invisible function application n end cell r 1 end table close vertical bar equals](data:image/png;base64,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)
If l, m, n are the
terms of a G.P which are +ve, then ![open vertical bar table attributes columnalign left end attributes row cell l o g invisible function application l end cell p 1 row cell l o g invisible function application m end cell q 1 row cell l o g invisible function application n end cell r 1 end table close vertical bar equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG4AAABGCAYAAAAtpKGgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAo9ZE6ZAAABBtJREFUeNrtXFGEVFEYvsYaayTWylgjkSTpYUjSQ1YkGcnal+xT1pKekhXJWquHXkZ6WOklWelhGdmn7NtaSXrpYfWQLEmSZFkrIysx/b/7X27XPTP3zJw5995zv4/v4R53/nPu/eb855x7PsfzfHQ8wAY6mQ8IQDgIB+EgHJAz4X4TSxYe0FY9g+I4cZG4lWXhjhE/WHgZtuoxgRfEGxqCpCLcFHHVwsuwVU8aGSsV4ZaIdyNlh4jPiG3iPvE5cTTmtxVik7gj970kPo6Jp6rHFDj2AvE+8Ye0ZZM44bJwLekNAcYkpc3KeHRQekoz8rsR4msRY0Q4T/wbiaeqxyQ49mdpy5i0+5GBHp5p4baJtdB1UwQI46jcFwYP3g8U8SYS1GMSHPtkpIz/cL9cFa4kM73w9U5MWuTrvUgZp6TxmHjtBPWYhCr2qMvCnZWxIMBp4huD9/UqNwFV7HPEDVeFmyGuhK6vyngRxe1IWpyWKXOveL3KTUAVe17SuZPCLct6JcBl4npMKvpIPBEReFWx/plLUI9JLMtEKoyyTLCcnVWuERuRmeJ34hW5rsk9CzED/09iXa7rshTg304mqMck1mRycjHS5lmX13G7MROR89LD/hA/dXkB3Ou+yn3viZdkYlNKWI8p7MoyY1uWIlsGlh2dGGZuOWAKp1L4MlIW4fLyhSV14Xi8exIaQ84Q30bGQRtoSFqEcAlxQCYFbVlDrUuPs43r0g4IB0A4CAfhIBwA4QAIB+EgHIQDIByEG17AvPgdbQG+ypwCvsqCpEBnfZVBHVXP/yjMm7BsNgo2V9lSx3Y63qJhg8+9Pp41+PC95/X2eNoSrpOAfVdsw1fZEvF4w3VG7j1C/OL5W0Mc55qUH5YXX9V4wdzOzUibl+T5p1ztcTZ8lVy2IX+KMNjq8FRRruMXWVT0rEG9nIX2VQZ1VDTLdfBNUuWgcXKTKm34KnW9lroezLqk2kHj5KrH2fBV6notdT2Yuh5PJ4Sz4atUeSp1y7stZ1pd1mJOCmfDV6nyVOqWq1CRP1Y9lMZfSVsargpnw1ep8lTqlndDVQTnZcQ74gVvMC8nfJUpoRwzC87CF5bUhcuKr1IF235L+CoNwbbfEvtxOQWEg3AQDsIBEA7CQTgIB0A4CAfhIFwiwFf5P+CrzCngqyxICnTaV3nH8/fNViQ1837ZLUPPGTzDTc/fG9z3zJyNWfjzKlsiEos2KXFr8oIrBp6T4/OO90PPtxIWosfZ8lXG+T+4140beE6OP12kVGnLVxl3huWIZ+YMy2GehVno8yq7nSdp4gzLYZ6FCV9lwnv7wTDPwiy8r1J1huWcgWc0FSdXwmXRV6mLYZ6FCV9lwrr7wTDOwoSvEl9YsiVc1n2VEE6BrPsqIRwA4SBcAvwDEQcU0KBixjEAAAINdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgY2xvc2U9InwiIG9wZW49InwiIHNlcGFyYXRvcnM9InwiPjxtdGFibGUgY29sdW1uYWxpZ249ImxlZnQiPjxtdHI+PG10ZD48bWk+bDwvbWk+PG1pPm88L21pPjxtaT5nPC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5sPC9taT48L210ZD48bXRkPjxtaT5wPC9taT48L210ZD48bXRkPjxtbj4xPC9tbj48L210ZD48L210cj48bXRyPjxtdGQ+PG1pPmw8L21pPjxtaT5vPC9taT48bWk+ZzwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWk+bTwvbWk+PC9tdGQ+PG10ZD48bWk+cTwvbWk+PC9tdGQ+PG10ZD48bW4+MTwvbW4+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtaT5sPC9taT48bWk+bzwvbWk+PG1pPmc8L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1pPm48L21pPjwvbXRkPjxtdGQ+PG1pPnI8L21pPjwvbXRkPjxtdGQ+PG1uPjE8L21uPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWZlbmNlZD48bW8+PTwvbW8+PC9tYXRoPumm9zIAAAAASUVORK5CYII=)
The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm
![](data:image/png;base64,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)
The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm
![](data:image/png;base64,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)
Fifth term of G.P is 2 The product of its first nine terms is
Here note that the fifth term is having fourth power of 2 and not fifth power. We need not to find all nine terms separately; only finding the product is enough because that product will then be written in the form of the term that is known. Terms in a G.P. are having a common ratio in between. That’s why the power of r is increasing as the terms are increasing.
Fifth term of G.P is 2 The product of its first nine terms is
Here note that the fifth term is having fourth power of 2 and not fifth power. We need not to find all nine terms separately; only finding the product is enough because that product will then be written in the form of the term that is known. Terms in a G.P. are having a common ratio in between. That’s why the power of r is increasing as the terms are increasing.