Maths-
General
Easy
Question
In the figure, n is transversal to
then ![left parenthesis x plus y plus z right parenthesis minus left parenthesis p plus q plus r right parenthesis equals ?](data:image/png;base64,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)
![](data:image/png;base64,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)
- 10°
- 20°
- 30°
- 0°
The correct answer is: 0°
Related Questions to study
Maths-
According to the data given in figure, x = ?
![](data:image/png;base64,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)
Angle in complete circle is 3600
According to the data given in figure, x = ?
![](data:image/png;base64,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)
Maths-General
Angle in complete circle is 3600
Maths-
If ABCD is a square as shown in the figure then which of the following are adjacent sides ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGIAAABfCAYAAAATQRJ9AAAF+ElEQVR4nO3ca1BUdRjH8d/unt1FCVTKAQUNBLkYgpMoJumgQ+pYhlh4dxyh7DKjZd5KvMRMVOOM5mT5otJMJHRUUgxzLBxlzFArUBEEEkQTMDRJBVl2D08vMmdA2V1h0cfl+czwZg///549X/acPTvMX0NEBPHQaR/2Doj/SAgmJAQTEoIJCcGEhGBCQjAhIZiQEExICCaUh70Dzqix9iLOlVfD5OaLkICeMNoxRt4RDtRYtgcrJoXDx9MP4cNHYEhgb3iFvozVOTVosjWYbLmVRYneetLpdKTTKaTo9eTi7kmBUdMoObOMGmxO0DmoVRmU4O9CvUYto52nrpCJVLr1Zw6te6kfGT2eo/VnLVbH2xHie0rwMtKw5QcpLz+f8vN+pV8O7qS1iYOph8GPZu+oJNVRr+aRZaKji0PI0HcO7bnaYtON/fRawBM08uOTZLYyg50hXGj0+kvND7haSdun+5AhZAnlmtqw787EfIKSBhrIZ+7+e54hVIvtP9W2XyO0vRCbGIveZT/hh7OWNk/jFCwVKLuoQb+gIOjvsVmrs32Y23WxVvz80AeXcOFCJw8BLXRaQKPVtGOG9lBVqNBBq2v7DjgFxR/+vsD50nMw37VRRVl2GjKOXYLJyhTtCmEuLUUFfODn28lvR5RgjB8TgOp96ciubbGtPhcb5s3B/C/zYe280fYQTX8hM3UfroSMxfj+ujZP4xwMiJiXhDhLKuZOXYXvzlyDCsBUeQSfJSZgQ1UU3lkwFq7WprB5Ob/98fWZlTl0uqCACgpO0vFDu2jd68Oop9GfEndflo+vt13P+4IShniRUaMjg6srGXUKdQ+Oo5SD1TaPkZ0htASAAJBGoyODmxcFjZhOyZll1Nk/ud7NTNfOn6LcI0foeGEV1dk5SkMk/07DgcOvskVFRSgpKXH0tOx4eXkhMjLScRM6+o2ZlJR05zTmzD+xsbEOPW7y7SsTHXoDUFhYCDc3t458igdu6NChqKqqcvi8HRrC29sb7u7uHfkUD5yidMwhk1MTExKCCQnBhIRgQkIwISGYkBBMSAgmJAQTEoIJCcGEhGBCQjAhIZiQEExICCYkBBMSggkJwYSEYEJCMCEhmJAQTEgIJiQEExKCCQnBhIRgQkIwISGYkBBMSAgmJITD1CM9vhv0igJFUaDo9TB07QGf8AlYmnEOjTZGd/K1GxyLmlToolOQs2YcjCCY66pxatv7WDh7NjyCD2PpgNZXaLiPd0QTKj4fg256N4xa+wdUB+y4M9K6eSM0PBzh4YMQMXwcEj5ahHH63/HziXqr4+x/R6glSE87gYAhgfjtm83Im/8BImyMrqmpQUNDg91P8ShQ1fv5E7Sg6nA2TqphmPl0F6u/aXcIS34a0k+HYkZWPA5M+AQbDy1DRExXq2MCAgLsnd5pmH5ciAF+K6ABQI21qL4MRCQfwNsDrR9qO0OYcHTrdpRHvIn44fF4fOQqLPtqL1JipsCj/fvuVJSwWVi9OAp6AE2mWlTkpmHdh5Pxit9hbJ3et9VrgX0h6rKxZVcNRqyYjCeVXoibOQbvzd2E7Rfi8Ubf5lPHxMTAxcWlfa/mERAYGHjPx3Weg/BCXBzunCumxqHP5f6Ytf5blE55F0GtXK/tCnEtKxV7/4nAorAbKC0uBoJG4VnDAmxOLcKrSU81myQ6OhrR0dH2vyKn5wJXVyPI3AizleVnbIdoqsbutP24Wl+H5SPDsPz/x0lF05ZNOLZoDaLsWeq3k6Cb1Sg+cwYGAGiqR2XuRqzc+TdC33oewdaOtq3FOtTyT2n0Y140K+N6s8dNuUsoxOBNczKvtzKys6mjtEmupLmzcIqGtEoX8vAdTBOX7qBiGysV2whhocKUSOrik0hZN1tsMp+m5MFG6j5xM1XLEmbtZv2GzpKHrdvy4fniNIxuuSCdEoIZM4ah8cDXSCuX27v2khXMmJAv/ZiQEExICCYkBBMSggkJwYSEYEJCMCEhmJAQTEgIJiQEExKCCQnBhIRgQkIwISGYkBBMSAgmJAQTEoKJfwHlfQf/JNqHWAAAAABJRU5ErkJggg==)
if two vertices in a graph/diagram are connected by an edge then they are adjacent vertices
If ABCD is a square as shown in the figure then which of the following are adjacent sides ?
![](data:image/png;base64,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)
Maths-General
if two vertices in a graph/diagram are connected by an edge then they are adjacent vertices
Maths-
In the following figure, a pair of adjacent vertices is
![](data:image/png;base64,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)
if two vertices in a graph/diagram are connected by an edge then are adjacent vertices
In the following figure, a pair of adjacent vertices is
![](data:image/png;base64,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)
Maths-General
if two vertices in a graph/diagram are connected by an edge then are adjacent vertices
maths-
Find the value of x from the following Venn diagram if
![](data:image/png;base64,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)
Find the value of x from the following Venn diagram if
![](data:image/png;base64,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)
maths-General
Maths-
In Venn diagram, ![left parenthesis A intersection C right parenthesis union left parenthesis B intersection C right parenthesis equals](data:image/png;base64,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)
![](data:image/png;base64,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)
intersection of superset with subset is subset
In Venn diagram, ![left parenthesis A intersection C right parenthesis union left parenthesis B intersection C right parenthesis equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Maths-General
intersection of superset with subset is subset
chemistry-
S1 : Generally square planar complexes show geometrical isomerism but do not exhibit optical isomerism because they do not possess planer of symmetry.
S2 : ![capital delta subscript t end subscript equals fraction numerator 4 over denominator 9 end fraction capital delta subscript 0 end subscript](data:image/png;base64,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)
S3 : In octahedral complexes each electron entering the t2g orbitals stabilizes the complex ion by 0.4
and each electron entering the e.gorbital destabilizes the complex by an amount of 0.6 Δ0.
S1 : Generally square planar complexes show geometrical isomerism but do not exhibit optical isomerism because they do not possess planer of symmetry.
S2 : ![capital delta subscript t end subscript equals fraction numerator 4 over denominator 9 end fraction capital delta subscript 0 end subscript](data:image/png;base64,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)
S3 : In octahedral complexes each electron entering the t2g orbitals stabilizes the complex ion by 0.4
and each electron entering the e.gorbital destabilizes the complex by an amount of 0.6 Δ0.
chemistry-General
chemistry-
All the following complex show decreases in their weights when placed in a magnetic balance then the group of complexes having tetrahedral geometry is :
i) Ni(CO)4
ii) K[AgF4 ]
iii) Na2 [Zn(CN)4 ]
iv) K2 [PtCl4 ]
v) [RhCl(PPh3)3 ]
All the following complex show decreases in their weights when placed in a magnetic balance then the group of complexes having tetrahedral geometry is :
i) Ni(CO)4
ii) K[AgF4 ]
iii) Na2 [Zn(CN)4 ]
iv) K2 [PtCl4 ]
v) [RhCl(PPh3)3 ]
chemistry-General
chemistry-
complex A
complex B
A & B complexes have the co-ordination number 4.
The IUPAC name of complexes ‘A’ & ‘B’ are respectively :
complex A
complex B
A & B complexes have the co-ordination number 4.
The IUPAC name of complexes ‘A’ & ‘B’ are respectively :
chemistry-General
chemistry-
On treatment of 100 mL 0.1 M Solution of CoCl3.6H2Owith excess AgNO3,
ions are precipitated The complex is :
On treatment of 100 mL 0.1 M Solution of CoCl3.6H2Owith excess AgNO3,
ions are precipitated The complex is :
chemistry-General
chemistry-
How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make an octahedral complex with a Ca2+ ion ?
How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make an octahedral complex with a Ca2+ ion ?
chemistry-General
chemistry-
In Fe(CO)5, the Fe – C bond possesses :
In Fe(CO)5, the Fe – C bond possesses :
chemistry-General
chemistry-
When degenerate d-orbitals of an iSol. ated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
Crystal field stabilization energy for [
in terms of parameter Dq is – ![left parenthesis capital delta equals 10 D q right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAARCAYAAABO4PtZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAoxJREFUeNrtWDFIW1EU/YiEIBKQIkUcXEqHIkUQCSIOgoiEUkqgQyfpEooEKUUIIsXBJTiJiCBFHEqWUIqDiFCKSCil4FAcOnSRIiJZJIQgIQTifXAiz5v73vsq5nf4Bw7k3+S/93LvPffe/z3vJmaJWS+EC1n4SsRz4s/QR77xAz4Tvxhy3NxB/N6GQz4lfiT+tvwmRtwg/gI3YTOhSmxorBDzxIE7nnGYWODGITjShSVijRh/YEd+Jqbwh01QAX2pXb+wBPkJC4pKiD5imviPmLzjOQtw6DVWsKgNg5C+cuZym+RjcuRr4ppgXyW+EeyviDnLWmU497aY4z1lnzjukPQRJKcicBywI78QpwT7BL6TlDRv2UfJfES77kagSigJas11YobdN8pVoCISsWyk6tWCdn0Oudgc4OJ9HHlhOK+yFQV7npUBqUxMaklzQHyLzzEEooHM5vuVdUPdIekjZvtE/BBgRtrOWxNsf1ETTTgh9mpJkzGs0e/ar+6Q9DNmV9E9/E8dWRX+Q8Xy+y6WxaeQNl/j0k/gTNJW0VkU7J048KOApF00nDcqSDvuGNlmoLDm9CIlSBxy91zS/kYc8yFpHTs4RFDNZlqwTwnNRnXxLcsex9pgncTo5QlrbAv2lmbDxx+TpHWkDB2yHY5MalmkY1sYf9bQODzDuLTKxqS8Za7lSMN3xoF8EbK2oQ/1oTMAR3qQ2nvsH8GZJVl+ZdkbQebu4cmI18s/2hOeGvV2iWfEhJ+B3MOw3Uzxks8613CMTfdxoKum9kCyVTSCTaFJNEel5hp11NAcZCnhMZxfhU8msEbUzyNi+NLCjAgSy/dLC4V34Wu0FiSQobynpELX3A4zhuf6G7gCpO+2vW90suQAAACMdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPig8L21vPjxtaT4mI3gzOTQ7PC9taT48bW8+PTwvbW8+PG1uPjEwPC9tbj48bWk+RDwvbWk+PG1pPnE8L21pPjxtbz4pPC9tbz48L21hdGg+ByXsNgAAAABJRU5ErkJggg==)
When degenerate d-orbitals of an iSol. ated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
Crystal field stabilization energy for [
in terms of parameter Dq is – ![left parenthesis capital delta equals 10 D q right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAARCAYAAABO4PtZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAoxJREFUeNrtWDFIW1EU/YiEIBKQIkUcXEqHIkUQCSIOgoiEUkqgQyfpEooEKUUIIsXBJTiJiCBFHEqWUIqDiFCKSCil4FAcOnSRIiJZJIQgIQTifXAiz5v73vsq5nf4Bw7k3+S/93LvPffe/z3vJmaJWS+EC1n4SsRz4s/QR77xAz4Tvxhy3NxB/N6GQz4lfiT+tvwmRtwg/gI3YTOhSmxorBDzxIE7nnGYWODGITjShSVijRh/YEd+Jqbwh01QAX2pXb+wBPkJC4pKiD5imviPmLzjOQtw6DVWsKgNg5C+cuZym+RjcuRr4ppgXyW+EeyviDnLWmU497aY4z1lnzjukPQRJKcicBywI78QpwT7BL6TlDRv2UfJfES77kagSigJas11YobdN8pVoCISsWyk6tWCdn0Oudgc4OJ9HHlhOK+yFQV7npUBqUxMaklzQHyLzzEEooHM5vuVdUPdIekjZvtE/BBgRtrOWxNsf1ETTTgh9mpJkzGs0e/ar+6Q9DNmV9E9/E8dWRX+Q8Xy+y6WxaeQNl/j0k/gTNJW0VkU7J048KOApF00nDcqSDvuGNlmoLDm9CIlSBxy91zS/kYc8yFpHTs4RFDNZlqwTwnNRnXxLcsex9pgncTo5QlrbAv2lmbDxx+TpHWkDB2yHY5MalmkY1sYf9bQODzDuLTKxqS8Za7lSMN3xoF8EbK2oQ/1oTMAR3qQ2nvsH8GZJVl+ZdkbQebu4cmI18s/2hOeGvV2iWfEhJ+B3MOw3Uzxks8613CMTfdxoKum9kCyVTSCTaFJNEel5hp11NAcZCnhMZxfhU8msEbUzyNi+NLCjAgSy/dLC4V34Wu0FiSQobynpELX3A4zhuf6G7gCpO+2vW90suQAAACMdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPig8L21vPjxtaT4mI3gzOTQ7PC9taT48bW8+PTwvbW8+PG1uPjEwPC9tbj48bWk+RDwvbWk+PG1pPnE8L21pPjxtbz4pPC9tbz48L21hdGg+ByXsNgAAAABJRU5ErkJggg==)
chemistry-General
chemistry-
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
is purple while
is colourless because –
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
is purple while
is colourless because –
chemistry-General
chemistry-
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
For an octahedral complex, which of the following d-electron configuration will give maximum CFSE?
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
For an octahedral complex, which of the following d-electron configuration will give maximum CFSE?
chemistry-General
chemistry-
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed diagrammatically as: ![](data:image/png;base64,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)
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
The d-orbitals, which are stabilised in an octahedral magnetic field, are –
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed diagrammatically as: ![](data:image/png;base64,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)
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
The d-orbitals, which are stabilised in an octahedral magnetic field, are –
chemistry-General