Maths-
General
Easy
Question
![tan invisible function application A divided by 2](data:image/png;base64,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)
![cot invisible function application A divided by 2](data:image/png;base64,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)
- tan A
- cot A
The correct answer is: ![cot invisible function application A divided by 2](data:image/png;base64,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)
Related Questions to study
physics-
A given mass of a gas expands from the state A to the state B by three paths 1,2 and 3 as shown in the figure If W1, W2 and W3 respectively be the work done by the gas along the three paths then
![](data:image/png;base64,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)
A given mass of a gas expands from the state A to the state B by three paths 1,2 and 3 as shown in the figure If W1, W2 and W3 respectively be the work done by the gas along the three paths then
![](data:image/png;base64,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)
physics-General
physics-
Same spring is attached with 2kg, 3kg and 1 kg blocks in three different cases as shown in figure. If
and
be the extensions in the spring in these three cases then
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471635/1/944351/Picture69.png)
Same spring is attached with 2kg, 3kg and 1 kg blocks in three different cases as shown in figure. If
and
be the extensions in the spring in these three cases then
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471635/1/944351/Picture69.png)
physics-General
physics-
If masses are released from the position shown in figure then time elapsed before mass m1 collides with the floor will be :
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471592/1/944349/Picture67.png)
If masses are released from the position shown in figure then time elapsed before mass m1 collides with the floor will be :
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471592/1/944349/Picture67.png)
physics-General
physics-
A block A of mass m is placed over a plank B of mass 2m. Plank B is placed over a smooth horizontal surface. The coefficient of friction between A and B is 0.5. Block A is given a velocity v0 towards right. Acceleration of B relative to A is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471592/1/944349/Picture67.png)
A block A of mass m is placed over a plank B of mass 2m. Plank B is placed over a smooth horizontal surface. The coefficient of friction between A and B is 0.5. Block A is given a velocity v0 towards right. Acceleration of B relative to A is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471592/1/944349/Picture67.png)
physics-General
physics-
In figure shown, both blocks are released from rest. The time to cross each other ![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471587/1/944348/Picture66.png)
In figure shown, both blocks are released from rest. The time to cross each other ![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471587/1/944348/Picture66.png)
physics-General
physics-
A block A is placed over a long rough plank B of same mass as shown in figure. The plank is placed over a smooth horizontal surface. At time t=0, block A is given a velocity v0 in horizontal direction. Let
and
be the velocities of A and B at time t. Then choose the correct graph between
or
and t
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471624/1/944346/Picture59.png)
A block A is placed over a long rough plank B of same mass as shown in figure. The plank is placed over a smooth horizontal surface. At time t=0, block A is given a velocity v0 in horizontal direction. Let
and
be the velocities of A and B at time t. Then choose the correct graph between
or
and t
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471624/1/944346/Picture59.png)
physics-General
physics-
Three blocks A , B and C of equal mass m are placed one over the other on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A,B and C is
The maximum value of mass of block D so that the blocks A, B and C move without slipping over each other is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471592/1/944349/Picture67.png)
Three blocks A , B and C of equal mass m are placed one over the other on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A,B and C is
The maximum value of mass of block D so that the blocks A, B and C move without slipping over each other is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471592/1/944349/Picture67.png)
physics-General
physics-
For the system shown in the figure, the acceleration of the mass m4 immediately after the lower thread x is cut will be, (assume that the threads are weightless and inextensible, the spring are weightless, the mass of pulley is negligible and there is no friction)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471592/1/944349/Picture67.png)
For the system shown in the figure, the acceleration of the mass m4 immediately after the lower thread x is cut will be, (assume that the threads are weightless and inextensible, the spring are weightless, the mass of pulley is negligible and there is no friction)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471592/1/944349/Picture67.png)
physics-General
physics-
Given
. The coefficient of friction between A and B
= 0.3, between B and C
= 0.2 and between C, and ground,
= 0.1. The least horizontal force F to start motion of any part of the system of three blocks resting upon one another as shown in figure is ( g = 10
)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471632/1/944343/Picture56.png)
Given
. The coefficient of friction between A and B
= 0.3, between B and C
= 0.2 and between C, and ground,
= 0.1. The least horizontal force F to start motion of any part of the system of three blocks resting upon one another as shown in figure is ( g = 10
)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/471632/1/944343/Picture56.png)
physics-General
maths-
maths-General
maths-
is equal to:
is equal to:
maths-General
maths-
If the chord through the points whose eccentric angles are
and
on the ellipse
=1 passes through the focus (ae, 0), then the value of tan
tan
= 0 is –
If the chord through the points whose eccentric angles are
and
on the ellipse
=1 passes through the focus (ae, 0), then the value of tan
tan
= 0 is –
maths-General
physics-
For a certain mass of a gas Isothermal relation between ‘P’ and ‘V’ are shown by the graphs at two different temperatures T1 and T2 then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUgAAAEpCAYAAADxvLvMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAD0NSURBVHhe7d0FfFPXHgfwAmMwZGMwdLjr8GFjwBgwYMiGu0NxGL7hPpwiRYcPd3co0uJWqEUrSdvUG2mSJr93zk1qK3kDBjRp/t/P+73KDWxr2l/Pyb33HBcQQgh5LSpIQgixgQqSEEJsoIIkhBAbqCAJIcQGKkhCCLGBCpIQQmyggiSEEBuoIAkhxAYqSEIIsYEKkhBCbKCCJIQQG6ggCSHEBipIQgixgQqSEEJsoIIkhBAb0hek2QSTUQ9Dggbq2EhEhiqgDAlGcEiIkBAehRLK0DCEhYchVMk+HyiDTCaHPCQMyohYxGqNMFr/OkIIcVTpCtLEizFcimDRA3ie3oats0ZgbL8u6NK1O7p074WeA1wxfOIs/LFwOZavXIpFsydiwuAe6PkLe0z/8XCd5Y5Npx/jUbgJCda/kxBCHJGNgpQhRPwQXidWYdOQumhS1AUuLjxZkLPM92jQdw5+W7gKK9csw9J5kzF5aCd0+rY8KhYuhIIl66BO598wxu0czr4KR3ii9S8mhBAH85opthmmRAOMBh20qocIOjwKE1qWQA6hIL9A6Y6z8dtJJZ6EsOl3VCQiVGyqHfIEjw/Nx5IuVVG3SE5kz1kM+St3wC9zj+CArw5RJuvfTQghDuRfTtIEw/R4KZb3romirCA/yVoYVQdswJKHQKT1EcninsDv6DhMZGVaSCjTfMhXezh6r76Lu6Eaek2SEOJw/n9BmuXQPVmBlX3roDQrvU+zFkKl3isx91YiAtO9wKiGKfwCjs34Ge0LuuDzbFngkqMGKrRfjFV3QhBEDUkIcTD/MoIMhPbpSqzqVxdlWEHmSCpIDyPkOutDUtNL8WyLKybVz4EiuVhBuuRFwZq9MXC3NzyirI8hhBAH8X4L0hgNxfHfsbJDQZTOl104sfNF+R/Q6k8vHJFZH0MIIQ7i/RakIQaqs3OxrtvXKJf/U6Eg85b7Hs3m38UBf+tjCCHEQbznguQjyD+womNBlPnyE6Eg81VshTbL7uMYjSAJIQ7m/RZkYhBebh+NqQ0+Q7HcWVlB5kHBGr0wYLc3bsZYH0MIIQ7irQuyct81WHAXUKS7AFwHg+I8js1oh5+LsKl1Vhe4ZKuGSu0XYtmdYIitjyKEEEfxlgVZGJX7rcVCL0D5z4u/o58h4OA4TGpdBkVZOWZ1+Qw5q/ZFh4U3cT1Ix+qTEEIcyxsXZNksWVhB5keJH0dj0PqbOHb7CZ56v8SLZw/x0OMsTrmNweRWJVA2Nxs5ZimIL6v+jLYzD2L7wxio6KZsQogDesOCrIfyWbMhZ9a8KFCjNZoNnoNJi9dhvbs71q9agIUTeqJXi2qoWqIovipcARWaDkTPecdx6IkKEXQvNiHEQb3xCLJclqzIkY2NIJv3Q7c527F84w7s2LASKxfPwewpozHadSSGT5iDmSt3Yff5B7gbEINIg/WvIYQQB/TmU2wXNsXOVhiVey7AtFNi3HrqDW/Pa7h++RIuXr6Oq3ee4JGfAkoNYLb+aUIIcWRveZKmECr34Zf5JEASZ4BBp4FGw6LVQac3wkir9hBCMpG3LshKvVdj3m0ghF5bJIRkcu9QkP/nQnFCCMlEqCAJIcQGKkhCCLHhXwtS93RV+oK8lfhGBWnm2zeYTEhMTBTeEkKII/n/BWlmBfl4BVb0rYNSrCA/zVoAFXqtwOybpjcqyOiYGASIRPD2fgmlUikUJnEcBpMZ0QkmaAz0vBHn9C8jyBCY7y/A0h7VhX1msmX5HKW6LsXUK2aE/MuAkJehp5cXFi1ejKlTp+HMmbM0inQgRlaO90J1WPk4Bnt94xEUb0QiPX3EyaQrSHOiEQZtHNSxkYgU34D3tn4Y2qQwPmEF6eKSFXkaDEWXNU9wIyASEbFqxGkNMCSmH2HwMty1axfq1a+PkqVKYfGSJcJUmziGKJ0Jyx9Ho+yuQLQ9qcS1IC10RhpJEueSriCN0QqEPLmAm6e2YdOiURj3Y1lU/oKXozV5KqNks5FwXbQF7sc9cP5BIEJi9NY/nYIXpLu7O0qVLo3PcuXCHzNnUkE6CF6DklgDJnio8NlGKeodCMZJsQZqAw0hiXN5TUEqoXh6CR5ntmPLytmYPqI/Bvbsjp69e7P0QbceA9F/xDT8sYoV6MlbuPAwEAobBbll61ZUqFgJ+b7Mj7nz5lFBOghekC8iEjDyugoFtsrQ4lgIzklZQdKtUsTJvHaKbdSpoYmPRlSkCmGhoQhVsoSFIYxFeD80DOGR7HicBvE6g/B61T8lFWTFSpXxZf4CVJAOhD+dj8ITMPhKOPJvleKnU0pc51Ps17yUQkhm9i8nad4dFaTj4j3oqdShz8UwfLlFik5nQ4WP9a/5RUhIZkYFSdLhBXkzWIcu50LxBSvI7udD8ZiNKBPpMi3iZKggSTr8pcYrgVp0OK3E55ul6HspDK8i07/OTEhmRwVJ0uGvKV+Qa9D2pAJ5N0kx4HI4/KNp9WPifKggSTq8IM/KNGh1wlKQg66EQxRDBUmcDxUkSYffYnhKohEu78nDCnLYtXDI44zWo4Q4DypIkg4vyONiDZoetRSk6/VwhMTTc0ecDxUkSYcX5GGRGo0OhyC3uwRjbqgQpqHnjjgfKkiSDr/e8aB/PL49GIxcrCDHeUQgQkfPHXE+VJAkHV6QB1hB1rcW5HhWkJFUkMQJUUGSdPgU+xAryAaHLAU59mYEVFp67ojzoYIk6fCCPBKQ8hrkaHoNkjgpKkiSDi/IYyI1vrMWJF/VR0EFSZwQFSRJhxckX/+x2VFWkJukGH4tXFhRnBBnQwVJ0uEFeVqiwQ/WC8WHXg2HjC4UJ06ICpKkk3Qv9k90LzZxclSQJB2+3Nm1IB06nwnFF5ul6HkhFM8iEmCi5c6Ik6GCJOnwgryjSGDFGIZ8rCB/ORsq7HDIp96EOBMqSJIO78GHYQkYeCVcWFG83SklbgZrkUBbLhAnQwVJ0uE1+CJCn7xpV8vjClyUa6ChXQ2Jk6GCJOnwggyIMWDy7QgU3CZD48PBOCpSI05PBUmcCxUkeS2F2oh596JQeLsM3+wPwg6fOEQlUEES50IFSV5LzabTa5/GoNhfcpTZJcdq9j7dbkicDRUkeS1+omY3GzUW3yEX9saew0aTQbRoLnEyVJDEJn67IR89frpBgvE3IyCJpbtpiHOhgiQ2XQnSovq+QLisE6P/pTD40d00xMlQQRKb7ioS8P3RELisFaHdSYVw6Q8hzoQKktj0OFyPLueUQkE2OBQk3E1DiDOhgiQ2+UQZhB0Nc2wQoyqbavOLxQlxJlSQxCZpnAGzPCPx1VYZyu0OxB7fOLofmzgVKkhiU6gmEeufxaLCnkCU2CHDikfRCKe9aYgToYIkNsXrTcLWCw0Ph6AgG0VO8IjAy0g6UUOcBxVkBjEbjTAoQpAglSAxOhrsi2M9Yj/4wrl8VZ+OZ5TI7c6XPVPiWjCdqCHOgwoygxjDwhCxbhWUk8ch7sRRJIaHWY/YlzCNUdhyIes6MeocCMIBf7VlNQtCnAAVZAZJ8PdFUN/uCKhaDmEzpyPB95X1iH3ho8iZnpHIvkGMQlulwv3ZhDgLKsgMkuDzEkH9e8K/UikoxrpC++iB9YidYaPF9c/5ohUyfLpejOl3IpBgpCEkcQ5UkBkkQSxC8NAB8K9YEsHDBkDjddd6xP4cFcULF4p/wgqS33Iopx0OiZOggswgBoUCIaOGwr/c18JIUnPbw3rE/ngqdehzMRR5N0uE1cWvBdH2C8Q5UEFmEGNEBBTjRsKvdBEEdv8F6hvXrEfsD98Te+69SBTZLkOVvYHY/CKOrockToEKMoPwS3uUk8fDr0wxyDu3Q/zlC9Yj9kdrNGO/XzzK7ZYj7yYJJt2KhCiGptkk86OCzCCJMdEI/WMq/CqUhKxdS8SdO209Yp/uKnRocCgYLmtE+PmUUrg+kpDMjgoyg5jiYhE+fzb8q5aF5MemiD1x1HrEPvG1IHtdDBNW9uHT7NMStfUIIZkXFWQGMcXHQbVsMfy/qQjxd/URc3i/9Yh9UmoSsfBBFAptk7FIsfJJNCJ19HySzI0KMoOY1PGIWLcaAXWqQVSvOqL37rQesU/xBhPOSNVodiwEn2+Sot+lMHgpdcLeNYRkVlSQGcSk1SBq2yaIGtZCABtFRrL37RkvQnmcAcOvhQt71NT4O1DY1EtPTynJxKggM4hJp0X0vt2QNG+EgOrlEbF+Dcx2/vXhtx0ufxyNLzZLkWuj5a6aWNorm2RiVJAZxJygQ8yxw5C1+5GNICtBtXyJMO22d8fFatQ9EIwsbiJ0OqMUlj+jaTbJrKggM4hZn4C4c2cQ2K0TRDUrC2e0jWGh1qP263mEHq7XVPhikxTV9wVhr288InQ0iiSZExVkBjHrDVBfv4rgAb0gql0VoTMmQy+TsAP2PRyLYlPqPT7xqLwnEJ9vlAivSXrTbockk6KCzCB8wVy+QAW/H1tUtxoUE0ZD98rb7l+H5P39LFyPNicUyLIqQFgj8pyUrokkmRMVZEYxJUL3/CmUUyZAXK8GgocPhOa+F0x6+x+NhWkSMfl2BPK5S/DVVqlw4iYygZ5bkvlQQWYUNhTTiwMQPn8WxN/WRGCvroi/cgkmjf1vrao2mIWTNU2PBiMnm2b/ei4UtxU60AI/JLOhgsxAxvBQRKxdCXHD2pB1aIPYo4eQGBtrPWq/+DQ7ON6ISbdVyOUuRfG/ZFj1JAaxempIkrlQQWYgk06HqJ3bIG5UR7geMnrHNhgjI61H7ZuZteRe3ziU2yUX7s/m92nz+7UJyUyoIDNYDBs1SprUg6heDUS4rRQ283IUD8MT0PdiqLAVA1/AYo9vvHBLIiGZBRVkBou7eB5SfjdN1bIIWzgbhpAQ6xH7F5NgEm43rMrKkd9+2JuNIu/TMmgkE6GCzGDqWzeFu2n8yn0N5ZTxMMhl1iOOwZ9Nq/nCFS5uYpTYIcemF3G0HQPJNKggM5j2wT0E9u4KvzJFETJsAPQB/tYjjkFjNLFSjEGFPXJkZ6PIPmwU+VSlp62zSaZABZnBdC+eIWT0MPiVLSbcdsg/djQ+kXqMuB6OHBvFwr41yx5HC3fcEOLoqCAzmF7kj7BZM4TXIGXtfxSm3OyLZz3qGPgqPwf941F1XyBcVovQ5pQCnsoE9nnrAwhxUFSQGcwQHCScvebXQkpbfY/Y40dg0mqtRx3HKzaKHH1DhbybpSj2lxwL70dDSvtnEwdHBZnBjBEqxOzbDWnr5pB83wBRW91hDHecS32S8J0PL8m1+P5oiLCxF79H+6iI7tEmjo0KMoOZ1GrEXzyPwK4dIW5QC+FL5gvTbkfEL/uZdy8K+TdJkW29WFjpRxRjoFsQicOigsxo7Guie/wQIYP7QlSrCpS/jYWWfeyorgdp0fVsKHK5S1Bhd6BwC6JSTc87cUxUkHbAEBQE5fhRCKhUCkF9ugvrRDqqqITE5IvH+QmbFsdCcDVQS6uOE4dEBWkHTPHxCJv7B/wrlIC0VTPhRI0jk8YaMN5DJSyom4eNJMfdVMEniu7TJo6HCtIOmA0GRKxbJexNI6pbHVHbN1uPOKZEsxm3QrTCnjV8IYti1tV+4vR03Q9xLFSQ9oB9raL/3gNJs4YIqFIGquWLYU5w7HuadUYTtr+MExax4Ge1mxwJwUmxmhazIA6FCtIesK9V/IVzwp00wqIVMybDoFSwA479wh2fVs/yihSui/x0gxg9L4TirpIW1iWOgwrSTmjve0ExdgRENSshZMRg6J4+htno2K/b6U1m3AvVocs5NtV2E6Eom2rzwvSPodcjiWOggrQTerEIqsVzLdsvdO0obAlrio+zHnVcWjbVPhwQj4aHg4WSrLY7EGufxSBCS98LxP5RQdqJxOhoRO/cBknTb4XXIoU7ahxgn+w3wU/OrH8eg7K75Mi2WoTvWFkeYaVJJ22IvaOCtBNmYyLiL1+ArFUz+Fcpi7DZM6CXiK1HHR+/L3s2m14X3SpF9jUitD2pwOVA+9+gjDg3Kkg7on36GEE9foFvyYIIGtjbIZc++3/4ghajbqiQf6MEWdaJ0etCKLyUOrqInNgtKkg7ohcFQDlpLPzKFYO07Q9Qe9ywHskc9Ilm3AzWCYvq5mAlmWuDGCOuheNFhP3vBU6cExWkHTEqQhCxejlE9WtA3LQ+Yg7+7RD7ZL8NjcGMkxI1WrMpNt+modBWGSbfisQrutOG2CEqSDtiiokR9saWd2gNcYOaUP25yOH2qHkTKl2isGUsXxqNT7X5dZKzvaIgj6OSJPaFCtKO8FsOtY8eIGT4QGFln5CRQ6Hxusu/mNZHZB4qbSLcnsWgxr4gZFsvQdldgVhwPwrSWFpkl9gPKkg7kxihQtjcmfCvWhbSNs0Rc+SgsCRaZiSJNWD5o2hU2WO5HbEie7v4QbSwhiQh9oAK0t6YzYjc6o6A2lXhX6MCItasgNkBt2B4UxJWhgvZyLHSHjmysul2BV6SD6MQFG+knRFJhqOCtEOxZ04KG3j5l+d7ZU+AMVRpPZL5sN8HkLGR5Nx7kSi9U44s68WsLC3TbTH7PCEZiQrSDmkf3odirCsCqpdDUL8e0D64D7M+c18K8ypKj7lefCRpmW7zu27msNKkdSRJRqKCtEOGoEBErl8DSZO6kP7YFNF7dyFRpbIezbzEbLrNR46V9wbikw1iFN8hx4w7kfCLNghbyxLysVFB2iG+FmT8pQuQtW0pLH8W+vtU6P19rUczN34W+89H0ajG99h2YyW5XY7xN1V4GObY62MSx0QFaacSfF8heHBf+JUoCHmXDtDc9rAeyfz4lg2rn0Sj4aEQuKwVI+8mCYZeCcetEB10RhpJko+HCtJO8ZV8whfNQ0C1chA3rouY/XthdpKvH69ApdqILd6xaHo0BNk3SPAZm3L3OB+Ky4FaYQk1Qj4GKkg7ZVLHI/boQcja/QhR7SoInz8bBpmUf2Gtj8j8lJpE7PePR4fTSuESoM/cRGh3Sil8LkJH30vkw6OCtFN8NfEEn5dQThqHgG8qIqh7Z8RfOCvcbeNM+B4256Qa9LkUhkLuEuEM9/eHgrHZO0a4oJwm3ORDooK0Y6aEBES6r4OoVmVhFMl3PkzMBKuMvy2N0SzsZTP2ejgKbJEix+oA1NgXiHn3ouAdSSsBkQ+HCtLOxZ8/A1mbFvArUxSKca7QyyTWI86FX+XzRJWAWZ6RqPiXDC6rRCi9Qw7X6yqcl2mgpt0SyQdABWnnErxfQDllIgKql4e840+Iv3QeZp3OetT5yOONWPE4GrX2Bwknbj5j0+72JxXY6xuPEHUiLb5L3isqSDuXGBWJmL/3CheMi+vXQPifCzPVVgzvIlSTiL1+8WjHivGzjZYz3DX+DhIuMuerltMLk+R9oYK0d6ZE6F68sFwTWaYIArt3ynQrjb8L4eQNm1qPvKFCuV1yNuUOQImtUjblDscpiRrhtGsieQ+oIB2AMSoKYYvmwr9yaTaK/AbRO7dn+nuz3xS/h5uv/lP/YBDyuImErRx+OBaCzS9iheXUEhJpOEneHRWkA+BlGHviCGQd2iCgRkVhhZ+EVy8BAy0uy+tPHmfEoYB4dDujRE5WkJ+sE6P6vkBM8IjAjRAd6OYb8q6oIB0B+7rx1x3D5s9CQM1KkLRojOjdO2BSq60PIAaTGVeDtKwUVajGVwRaK0Iudwm6stLc7RMPXzbSNNOLk+QtUUE6Cvb1jD1xlJVjI/iVLgLlb2NhkGW+/Wr+Cz5S5GtLrn8Wg2ZHQ5BnkxQ5WVHyFcun34mAp1IrXA5ENUneFBWkA9E9f4qQUUPhX76E9ZKfCzBpaBT5Twq1EWekGoy5GYGS1msmi22TovNZJdxfxNKWDuSNUUE6EKNKhZh9u4VLfkRsqh02ewYS/JxjGbR38TLSgBVPotloUoH8m6XCtLvybjmm3o7ARblW2NaBkP+HCtKRsK8pL8SQMcOFaba01feIPX7UepD8E79oPFpvwiVWhiOuhaPUTjlyrBMjn7tE2HJ2+eNo4Sw4LcZLbKGCdDAmrRaRWzZC3KAWAqqWE3ZA5CuQmxPpVjtb+Opoj8MTsOF5LDqfUiL3BglcVotQfpccfS+F4q9XcfCPpmk3SY8K0tGYzcLe2YoJo4XbD/lyaLFHDsIUH299ALFFazTjWpAWv3lEoPb+IHzOVwdi0+6qewKFrR2uBFqm3TSgJEmoIB0Qvxc75tB+SJo1sJzRZmWpD/C3HiX/jy7RjOA4Iw4HxKMfX0JtmwzZWEkW3CoTpt0LH0ThCRtt8suGCKGCdFC6l95QjB4Gv7LFhJM2sYf3IzE6ynqU/Bu+dcNthQ4rHsfg5xMK5OMncVYHoOR2GXpdCMNGNh1/SEXp9KggHVRiZCQrxYOQd2gtTLVDXAdBc/e29Sh5U3zafYNPu29FoM6BIOTfyKbdbmKU2iHH8GvhOC5WQ8ZGnPze74/JbNJBE6lAqNQfIj8f+Lx6hVc+7K2vP/xFEkhkcshkMsgkIoj9/eDv5wc/X3acP8YvAH4BEkhlwVBEqsG3F6dXqN8NFaSjSjTBEBKC8Lkz4V+pFAJqVUKE2yqYYp1vQd3/ik+7+bWRvAxH8bPdrBx5SX65SYKa+4Mw6oalKD/eNg8J0EU/hufuxVjm2gfDBvRD7/6DMWjoCIwYNRZjx47FuNEjMcp1BFxdR2Hk6LEYM4Zl5HCMGDoQgwYPRN9+wzBizDwsO/oQtyMAjfVvJm+HCtLBxV88D/kv7YXXIgO7dYb62mWYdVrrUfI2zGw2/USlF852974YivI7WVGyaTffo7vFsRDM8orEaakGYj4k+6AUiHy1BSt7NkGTryuibsse+NV1OqbPWYD5i+bj98Ft0al6PpTInx9Fav+M1q4LMW3hEixeOA/zfx+Did0boUn50iheviO6Lb+IC9FspGz9m8nboYJ0cIaQYERtWg9J02+FHRCV0yYi4ZW3ZRUH8tb4l01vMuNFpB4rHkWj5fEQFNouRR429c7tLkGDQ8GYfz8KdxU6NqI0fZjVghIeIujiDIzv2BZNWozF5E1XcN5HhQiNBhqNFE+2DsPYKi4okDUfvu68GHNux8I/jh9jiXgF2YlJmP3rd6hSdzRcN3vBh/0r0k/eu6GCdHB8K1h+C6Ji5BD4lSsGyQ9NEL1nJxIj2LyK/Cf8kh+PYC2Ws6JszYqSL6XGNw0rwabgrY4r8IdnpHBHTqz+PX9fi8/Dd9ckTJ/nhsm7nuNBoBopF3F5w3N1V3TN54JcWWqg/oSDOMRGiCljWjZWlG/FkeVj0XnAZqw5LgLdjPruqCAzAcsWsYcga98KfuWLI6h3V6ivXrbMGcl/FqVLxGmJGlPvRAiLYBTeJhMuNM/DRpQ/n1JiGStQvpIQX3/yv3/JDYi8fRw33BZgy8VHuJLmwoRImIJ2YvuIWqjokgdZC3ZHj9UeeMp+rJJvmjTFAoF7cP3QKkxa7YWTXuxj8s6oIDMJfp+2atVyBNSsLCxmEfr7VOilzr01w/vEp9L8JA2/0Jzfy833xOEFmdddigJbZWjKinMem3p7sql3TILpP1wepEGA1w2c27UfHi8lCLV+VpAggubGdMxrVxi5shVF9vqzMPWQiNVmKgZWiP5H8PDCPrhfVMBTTr8k/wsqyExEe98LISMGwb9CCUi+q48o9/UwKhXWo+R94Pdt831vjos1+P1uJJoeCUHW9fzWxQCU+EuGn04q8LtnhHDWm68q9PYMUCmVEPlKEREbn/byHNVDSLf8iiE1ssMlb2UU6b0Pbrc1aV9fTNSzgWYAVEEB8Ak1IJzOzvwnVJCZSGJMNOJOn0Bg1w7C/jXyDm2ENST5FJy8f2GaROGOnDE3VGh4OBhF+dR7Ld/2QSxMxReyEeVFmQa+UQbEvYfrKHX+53H5t7poVcAF2Yp9j0bz7+Co3HqQfBBUkJmKmY0YlYhYuwLixnUsF5CPGgbNrZsw6xOsjyHvE7+APISNFK+wqTc/aVP3QLCwknmujRIU3iplHwcJG4vxEWUwe9y735ijRei9zVjfsSSqZHXBF1X7ov8BP3jS0/pBUUFmQgm+rxD6x1ShIP2rlRPWjdT7+9KlPx8YXxHoqEiN2V6RaHdKiS83s6n3qgBh7+7vDgVj5HWVsJnYvVCdsLL5m+NPnBi+Z6ZgbM38+NzlK5T4YQ4WeyoQZHkA+UCoIDMpftth0laxksZ1EbluNQxymo99DPyyn6uBWmGFIH4dZemdcuTZIEHWdWKUYe8PvByGv17G4mFYgnApkeZfdxUzAOrLuLuhI9p9nRcun9THN4P24EhADHTWR5APgwoykzJpNIg7ewryX9vB9+sCkLZsark+MjbG+gjyIfF7vAPjjLin1AkLX3Q5q0TR7TJkXW9ZsJfv5d3mpAIz2WjzvEwD1f/bx9usAXy24sSEqqj2ZU64FOuOVgs8cV9Ja1h+aFSQmVhidDQrxb8gbdEYfsW/gqzjT4g9yU/a0KXDH1NUggnXg7VwexaDwVfCUX9/EHLyRXtXiVCATcNbsVEmL8oLco3w2HSMMYg5NxNr2uZF0dw5kbPhNAzdHwYxXeL4wVFBZnKGIDki168WLvvxLVkIgX26If7yBZjofu2Pjq9szu/j3u8XB9drKtRlRVlosxR52YiyDBtRTrodAXG6DcXMMGuleLZxAEZVcMGXOQuhVO8NWPLQjFAaQH5wVJCZndks3JsdNm8mRHWrwb9iSQQP6gP19SvCMfLxRbNRIt8L5wKbWvNLgTqdVqLVCQUWP4iGnE3L09LBEHMNJ6e1xI85XZDrs3poOvM4DkcC8fT0fXBUkE7ArNcL2zSE/j4ZAd9Ugn+FkghxHQLN3Vt0+U8GU2iMuByoxZEANbyUCYjV/3OKHQaNyB1uvauilEtuZC/aC/0338UzVo60J+OHRwXpJMxGg3A9pGL8KIhqVxU2/FKMHg6N5x2YDTRXy0j87hx+KyN/m25QqHsJ1cXxmNTsK2R3KYFcDedi1kkxaO34j4MK0onwO2rUN69DMWoo/CuXhqh6BYSwklR73ICZPV/EDik84OPWFj0qfgKXPDVRvN8BbPHSvMEK4QYYopQIDWKJ1qda7Ye8DSpIJ8O3jY2/fFHYz0ZUoyL8K5YSpttqj+u0M6Id0j4/jDOuldEknwuylWqDpgvv47TUevB1DOFQvriKq3tWYu2c6Zg+5Q/MXLwJm47exm1xBFQ0L38rVJBOiK84rr52hY0kh0NUqwr8q5RB8JB+UF+6AHMCvSZpP2IRdHUZlrbIj7JZsyBf3SEYfESOB7b2TzCpEPfqMA7N7o4e9UqhwtfF8HXRIihSpDSK1+yMX2cfxt/eakRSSb4xKkgnxUeLGjbdVk4cI6xE7m9dRzL21HHh+kliD57h6a5B6FEiJ3K5FECZn+ZhKSu416/PZEas72XcWTcCkwd1xS/9RmL4uPGY4toJneoUxleffo6cZbqh84LLuBwYT3fgvCEqSCfGT85obntAOe03iBvUgl/JgpB3boeYA3/DoAhhD6DrSD4qcyLM2mjERQQjUPwI3hfmYHmfsiju4gIXl9woUH8kJp55BA9pKJSqOOF+bstPFPt/cyREV3dh59TxmLdyL3Y/CoOc/aLTKrzgtYMVZYviKJS9OIo0mY45V6WQ0Y/iG6GCdHJ8uq19/BBhC+ZA3Kg2/EoUgqztD4h0X2ddcJdK8qNJ1MGoeAZ/z2M4uGUR5g1oglZlP0UOoSBzIm/ZH/DjxNWYv+MyLtzxgyQuwToSZP9v8sULr4s4sPMqbj0IQWTyWRkDDPJreLqqI7qUK4j85bqjz45nuMv+CD2z/44KkghnsBNeekO1ZgWkzRvCt1h+iBvXRfjiedB43YVJRxOyj8KkR2KkFCG+nrh18Qj2r/8TK+fMwMzZszFnzmzMW+qGtXvO4MjlJ3j0KgShWgP0wh9kbWgOgTI0GD5iLdT/vEnKFITEmzMwq0VFlC7dEV03PcCVBCrIN0EFSZLp5XJEbdskLLTrV6oIRLWrQDlhFOIvX0JiVJqF/ckHw2rLbGb/M7OfIf7W+mmB5fOWWD/1JoxSGD3nYk77xqhaYwhGH3iBxyYqyDdBBUnSMIaFCquQB/XpBv/yXyPgm4oI6tUFUdu3whAYaH0UcSjxrxB3biJ++6UDav28Ams9AkF7Xr4ZKkiSDl8qLf7qJSgmjoaIn7wpVRjSFk2gWrIA2gf3kBgfZ30kcQR6+Q08XvwrhvUais5/euKqnFZzelNUkOT12HOle/EU4UsXQvZTc+HOm4AaFRAyYrCwziTfDIxuUXQAxggEemyD+5BuGD1lDdweaSCnS13fGBUksYmfvNFLxIg5+LewApBfhRLCCuWBv/4M1bLF0N7zgpmeUztmAkSncHPLVIweuwIL9z+Dv5aNKK1Hyb+jgiT/il9Uzu+8CZ05DZLv6sG/TFFhwQu+2EXs8aPQiwJoNGl3WBNGPcPzg0vgNm8h5u57gmsiuoXmbVFBkjfCl0wzSCWI2rYZgV07QlSrMgLYtFvWqhnCF86B5p6n5V5u9ryTjGaCOdYHyjvbsGWlGxZt8sAduQYJdNr6rVFBkrfCt5XlK5KHzf0Dku8bwLd4AaEsg4f2R+TmjdA9fQKzkZ7nDKUPgPzeIfy9wR3r9tzEdZEWaV925JcSGZHILxuyfoa8HhUkeScJ/r5sNOmOoP49Ia5bXbiXW9yoDpSTxyPu9En2M+ovnA0nHxMbvScEQfngbxzauBILVh3HUS8Zwo16JOg00MaGITRIhOdP/eAnU0FtMr/BsmnOjQqSvBN+AicxKgra+15Q8TPdbVoIU25h2v1TC2FfbvXVS7TwxUfDRoNaf4Tc3QK3KaMwZMAk/LFmF3afvoiLVy7h4vnTOHdoPTa7LcHkRQew45IIUYk0fvw3VJDkP+MnaWKPHkLYjMls2v0t/EoWQkD18gjs0Rmq5UuEKTm/AJ18KHog5hlenJyNub9WRYUvCyBvvtKo+m0jNG7WFI0aNkTDBvXRoGYZVK3THA3H/I11HuFsBGn948QmKkjyfrDnWy/yR9SOrQge0l94fZJPu/lSakE9fxVen+SLYhhDlcIJnwynj4MmXIrAgJfwfv6MTTuf4tmz53juzT728YdfgAiiAH8E+L2Cz0tveL94wcKOs8c8e/4SL3184ScNhixcjfgMP/uhA8Jv4NbWcRjRsg7q1/gG33zDUwM1alRH9epJqYH6rYfCdcdTXGO/r2j8+O+oIMn7YzYjMUIF7dPHiNq+WVhfko8k+bSbL34R1K+HsCCG5sG9DN92VhdwA17bJmH26N7o1qM3evfpjwGDh2GY60iMGuUK1+FDMWTwYAwaMhzDRozE6JGuGDViCIYMHIB+vXujD8uAKSsw95APnoZk9FCM/VwlqBAhe4Gnnrdx5zbLndu45XETN2/cwA0hN3Hj5i3cefASPqEaxNCP4huhgiQfhFHFpnBXL0G1cqlQjPyebuGM97c1Eew6GBGb1kN9/SoMwUHWP/ExaRF0ZincfimHBt/UQuXWg9B/whzMXrwUfy6ahsXDf0Dr6vnx+ZclUaB2d/wycj6WL1+OFX8uwZK5ozC+RyM0KlkQpev2xq/rX+BGhhck+VCoIMmHw0eUMdHCfjdh82dB1ukniOt/I2zxwLd6CORT7w1uwjWUxjAlTJqPcY8w+x40+8Nz22RMatEIHXpPw5Q993BLGo8YvQEJSk+It3TBgOpZ4ZKrMgp1/wurr6ug0+uh54l7Cp9TMzGpaW1832IEJp5R4BGdrM+0qCDJB8en03qJCPE3rkC1ahnkv7RHQMVS8Cv3tTD1Duzxi3BdZezp49AHyqx/6kOJBuLP4+TWpZjkug6bjzyCb7g+ZQsCpQcezW2En4u4wKVIU9Sb7YmTaQa5aqhFp7BlxFBMcF2EHb7RkNEAMtOigiQflSE4GHGnT0C1aJ7lGsqGtYWz3v6VSgnFGTZvJmKPHITu0QPhhM57pw2E/vk2HN67G4sOBuJFuPXzAh3C7m/Fpk4lUPWTbMhboy/6HxDBK81mj9GIVtzErkVrsXb5ETyKUoP2gsy8qCDJR2fWJwgL8PKpdcSa5cJ6k+KGtRBQvYKwYpCkeSMoRg1D9I5t0D1/hsTYGMtui2+1SqwNUcFQ39iP65cu45DIiMA0t5BL4XtmOibUKoACLgVRouUsLPIKhSzNPzYU0eG3WcGewaHDTxGu1tPZ4EyMCpJkGL4SkEEuhebuLUTt2g7FhNGsHBvDr2xR+JcvAWmzRggZ0h+qPxcKi/ha9sj5j7Tx0MsDEKpQIlAPpLx8aGSz5+u4694F7b7Oi0+y1cE3A3bgqDiWL/uQihoJOiXEEiWk8jgYjTS/zsyoIIldMLFRpfbZE0Tv/ku4XVHeqa3lhE65rxFQpQz7+CdhUYzYk8ege/oYRoUCZuN7XJ3GrIE54C8cn1QD1b/8DC6FuqH1vDt4GEqLgzkzKkhiN3jhmeJiYQiUI/7aFahWLLGsHFS7qnDBOX/Lp9+WhTE2WFY3j46yrkn5Hye6+kjEXZoNtw6fo2jeXMj67TQM3auAJJYm0M6MCpLYJV6WfEqtvnoZUVs3QfnbWEhbNmXT72LwK10Eku/qI3hAb4QvmoeYQ38Ld+mY1O9+usSklsJ3c3+Mq+KCfLkKo1gvdyy+Z0AYLaHo1Kggid0zG4xI8HnJpt87EDplonC2m5/9DqhcRtgKQtLyOyhYgcbs2y2MKg0yqTASfXPs74+8hbMzWqLN51mQJ09dfPfHSRwKBZ2hdnJUkMQxsO8dvnqQQS6D2uMGItetRvCgvhB/WxP+FUsioGYlSJo2QGC3zgib8zvizpyAnhXlm71OGY440Xas71Md5bPkQq5iPdB/sycesm9XGkA6NypI4pD4LYpqj5vC4hihf0xhxdgJAd9Ugu/XX8G/WnnIO7dF6LTfhH2++S2NepnE9rYQCa8QcW0SJjcviFwuXyPPt3Mw97QItBM4oYIkDo2vS2lQhCD+0nmEL5qLwD7dIGnRGCI2ouRnv0X1agh36qhWLLW8TqnVsj+U9sSLWXkT/hvao3vl7HDJUxvF++7H9nu0jiWhgiSZBN8Ph0+pNY/uI+bgPihnTIKsbUvhNUq/EgUhblQbquWLLRuM/eP7UOt9GBfGVUHTAi5wKfkTmix4gHNS+l4lVJAkEzLpdNB5PxcW8eVnuYPYqFL+a3uo1iwXtrFNW5AaKK6vxurWBVCB315YdygGHQnCAzo7QxgqSJI5sWk0f82Rn9jhF5bzKbju+VOYWXmmMLHH+ePp/rEYUTE3vnQpiDLtF2Dpo0jIrY8gzo0KkjgFvpSaOSF1OXLs47iLuLK8HVrkz4VsWevh2xF7cCJYnbK6z/9jTkB8nA4JOvq+zqyoIInzSoyB+dV67HGtgDK588ClcC90XHwbz6JtnO1GAnSRgQh8dgv3LuzBoSMnsO+qBL4KW48njo4KkjgvXQgij4/H/BafIW/uL5G10WyM3h8M5WuHj2bAEA7Vy7M4s9oV41pVRr3vuqD13Js49YoKMrOigiTOK/4p7i9qj56FXfBp7iIo1HcXlnoJE+/0TIkwxwUjWnwW5zYPw8AaeVCoYF1UG3se+59TQWZWVJDEiRhg1EUjUiGD7KUX7h6biynNC6OYiwtcXHIgT5v5GLPXBw/9g6CIUiNWz76Pky6ZZN/P5rhIGNQ+8LnnhkUdK6J22cZoOPkiDnlTQWZWVJDEicRCE/4CTy4fxdHV0zB3YCM0LJELOVhBZsmaG7lrsCnzqLVw23sGV54FIiAa0Cct98gvLk80sjexiBIfwF8DaqJ51cZoPOUiDryggsysqCCJE9EgITYQ0ude8Dq7D0e3LsPKJQswZ+FCLFy4BItWb8OmfWdx8dYjPJdHQKkGjOlWOzNAG3gC+4fVRetvWEFOpYLMzKggCXkrOsRLj2HvkDpoRQWZ6VFBEvJWqCCdCRUkIW+FCtKZUEES8laoIJ0JFSQhb4UK0plQQRLyVqggnQkVJCFvhQrSmVBBEvJWqCCdCRUkIW8lEbrgUzgwvB7a1PoO3824hiM+6a4mJ5kEFSQhb8wMsyke0QEH8Ff/Gvi+Un3Um3AGu59o2fc7lWRmRAVJyBsxAQkRiA2+izsHJ2Ns/c9R6JOC+LLlXPy28xH8QmJgTKSSzGyoIAl5I6wgtUpEiq/g6r65mNmnDVo3bYfWg5di3q5beCxRQU8FmelQQRLyRlj5JSbAoIlApFICic8LPH/qjee+MkgVUYjV6lOWRiOZBhUkIYTY8NEKct78+cLnCCHEUXzUgjTzRUcJIcRBfNCC3LptGypXqYr8Bb7CgoULrUcIIcQxfNCC3OjujrLlyiPP51/AdeRIPHnyBCKxGE+fPRPy7PlzIc+fv8CLF95p4u3tjZcvX+LVq1dp4uPjA19fX0v8/JLj5+cvxN/fHwEBAckRiURCxOyfK5FI0kQqlUImk0EmlwuRJycQgYGWBAUFJSc4OBghISFpolAooFQq3yGhCA19h4SFJSfsjRKeNuHhCH/rqISoVG+bCEsiLIl4q0QiMvIdEhWJqKiod0h0SqKjEf1WiRESE/OWiY1Nk9h3TFxc3HtIPOLj30PUPGqo/3M01qih0WphMBgyZAb6QQty2fLlKFS4CLJm+wQVKlZC23bt0anzL2jX/uc0ad++A9r/nDY/83ToiA7/TMeO6NixkyWdUqezkE6deX5JTudfkvIrfknKr0npgl95uvB0TU4Xnq6WdO3aLSXdeLqnSbfuPD1spnuPnujRk6eXkJ69LOnVqzd69e4jpHdS+vRFn7790Ldf2vTr1x/9+w+wZMDA5AwYOBADBw0SMmjQ4OQMHjzEkiFDMWRoUoYJGTpsGIYNG45hw0cIGZ6UESMwwtVViKvryOSMZL/YRo4cJWTUqNEpGT1GyOgxY5MzZuxYjB07Tsi4ceNTMn6CkPETJmLCxJRMnPibkN9+m4TfJk1Ok0mTp2DyFEumTJmKKVMtmTp1GqZOs2Ta9OnJmT5jhpAZv8/A77//nip/CPnjj5mYOXNWmsyaxTJ7tpDZs+ekZM5czJk7Twg/uZgU/jIRz/z5CzB/wUIhC3gWLhKycFFKFi1ezLIEi3mWWLKEZ+lSIUv//BN/LluWJstYlrOfmeXLV6TJihUrsXKlJatWrUqV1UJWr16DNWtSZ62QtWvdsNZtXZq4rVuHdevWY/36DWmzYSM2bLRk40b3lLBBDo/7pk3YtHlzcjYnZcsW4aW05GzbKswct6XJdiHbt/+Fv/5Kmx07drDsxM6du9Jk1y5L+GP2HziIR48eCUX+sX2wguRtv4V98WrVroN8+QsgLxtFfpHvy5R8kZLPv8iXHP64fybP558jT97UySskd570yZU7T3I+48mVlNzImZTPciUnR1JyfpYmn+bImZJPk5JDSPbUyZ4Dn2T/NDnZPsmeJqmP8WT/NCn/+HtYPs3Bk9P6z0/5d0jz75bq31X4b0j670n138X/W5OT/HWwfJz0tUn+mvH3hY/zIA/7+LVJ87W35HXPU95Uz2OasOebJ83zz5Lvy/w2w1+3TslXye/zl2vShn+uAAp89RUKFGT5qiC+sqZAgZT3CxYshIKFWNjbr6wpWKjwa8N/qaekaPL7hYsUTZVi1hRFkaLFXpOvhRQtljrFUPRr9palmJDi1lg/Ll4cX7MUL16CvWVhx3j4x8VLlBRSokSp5JQsaUmpUqVRqnQZIaV5ypS1phzKlE1KeSF8RleufAWUr1AxbdgApkLFykL4eYOkVKpsSeUqVVClatVUqSakarXqqFY9KTVQrUYNVGepUeOblHxTU8g3NWuhZnJqC6lVqzZqs46oXadumtSpW09INfb3N2nSFPPYL6hnbNbJR5If0wcrSM7T01P47fwrG4l1ZqM5PuoZOHBQ8mioX1LYCKkvHzmx9OGjKGuSRla9evdOHnnxWEZkPdno7HWjNj6ys4z2urBRX1L4yJCPGHn4aDIpSSNNPvrswEalKbGMVvkoVhjNpkp7PvJlo+GktG3bTshPP7VFmzY/paT1T2jN3rZu0wat2rRGq9Yp+bFVK/z4oyUtf/wxOT+0bCmkxQ8t0bzFD0JSv9+seQt836x5ujT9vhm+a/p9mjT5rmlyGjf5LjmNGjexpFFjNLRGeL9hIyENGjTEt982SAn/uEED1P/2W9SrXz9N6tazfCPz1K3HP64vvM+/yfkvx3+mJvuB4OE/LElJ+gHiqc5+oJIi/MAJqS78ICYl6YeTv75dqXIVIfwHmEf4mP9g8x9w9kOfkorsh9+S1MXAy4KHF0fqJBULL5qk8kmdkqyUeEqwgkqdpCJLCi+6pCLkJZlUhvz9pDJNW7yW8EJ+XXmnTqHUSSr01O9nRIrwXyQs7P3kvOa/703Df8HyXwZ8RnT16jVo2XT7Y/qgBclfZ+GvI964eRM3btzA/fv38eD+A+HtvXv30sTLyytdPD2T4om7qXP3rpA7PHfupMltntu3hdxKnVu34XHrliUeKbnp4WHJTQ/Lv2dSblhynf17X7/+z1zH9WspuXbtmiXsCbx69WraXLmKK1eu4PI/c/kyLiXl0qXkXLx0ERcvWnLhQkrOX7hgyfkLOHf+fNqcO4+z587h7NmknBVy5gzPGSGnT6fk1OnTlpziOZWckyeTchInTiTlRHKOHz+enGNJOXYMR/+Zo8dw5OhRHDmSlCNCDvMcPizk0KGUHDx0CAcPWnLg4MGUsKkVz/4DB7B///7k/P23Jfv+/hv79qXN3n37sHdvUvYmZ4+QPdizZw92p87u3UJ27eKxTOt28linejt27hSmgKnzF5sWJk0Rt/OwqaMllqlk6vDp5tatlqSZim7ZKkxPhWxOCpu+brKET2nd3V+fpGlv0jSYT4vXb+DT5LTTZj6V5lNqIW5uyRGm3ix8Gr6aTcmTs5pP1y3T9pUrV6XJCja9X7GCT/fTTv+XLVue8jIBf9mAhb98sHTpn8kvJyxZYsliFv6ygyX8JQhLFi7iWYSFwksV/CULS+YvWCAMsPif499X/LxBphpBEkIyB/6SmdlkEsLPLySF3/xhNBqF8PJKjl4P/T+SkKCHTpcgRKvTpYSNCoVoNNCkiuVkTbzwmIy6QJAKkhBCbKCCJIQQG6ggCSHEBipIQgixgQqSEGInEgGDCirxIzy4ehGXLlzGpeuWq0w8PPjVIldx5boX7vkqERTPHpp05sakhz5CisAXd3HnJr+i5AquXL6CS1fuwOuVAsEa9ljrQ98WFSQhxE4YAZ0EkruH8Pef0zB9WH8M6NMLvfrw66EHov+IKZiybAd2XPPFMxWgTSrIRC20snt4fHoDNi8cjzGD+6F3/9EYOWsTNl9+hedRfKu1d0MFSQixEyZWdrGIVfrA+9JmrB/RCu2q5EfRQoWRP3891Ok4A3NO3sed4GhEsMZjdWphNsIYFwaV7ync2TQM/Zs1Qe3mIzBm2y1cDoxCRIIwNn0nVJCEEPuj9sGrvaMwtXk+FMiaDS4uZVHp5yVY+zIeSutD0onxRPCBIejftjMa99+G3d5qRFoPvSsqSEKIHVIjUXoAp+b8iEaF8rCCLICSzSdhymUFvG0MBw3eR+CxqDO6D/oD/Ta+gneU6T9fYE4FSQixT4ki+ByfgTH1CqJY1k+Qu2pntFzuhTOy1zVkBCSnV2Bdr5/Qb/pfWP44AVHvYYcXKkhCiJ1KQMSTvfh7cDU0/SoLXPLXRJHO7lh5JRTx1kcIzHpAcxuX1/2GwT8OwES3K7gR9+4nZlKjgiSE2C2T8i58NvfA4AZfwiVLEeQoMwBDNt7FQ9aJ7H8WehUSn6zBlumD0ar7Siw75cfGk8I+lP8ZFSQhxH7pgxD/eCWW96mBUi7ZkSNnNdQfuxObfE2Isp7GTozxhXj7IMwe0hvt51zH/udqy4H3gAqSEGLHtEiM9sDFeb+iSyEX5Pv0c+RvPh1D94TAN5aPEfXQSC7i0NjOcO0zCpNOBeLefz11nQoVJCHEvhlDEXhkBpa0yoeSn+dAlkI/47uJ53FepmEHZVDeXo0/fu2LPkPdsCcgHqHvcXdpKkhCiH0zG2AI2IMzMxuhUbG8cHEpibI/LcTSW2EICrqGR9sGoW+3aei/8A6exSWmXED+HlBBEkLsHBsSGp7A+/AEDKtdFAWyuKBAzW7ovP4GduxYh93j2qH35E34/VwEIpPP3LwfVJCEEAeghurhbmzpVR0N8rngsxLVUar3dHTpOhTj2nXBePfL2B9sRsL7OHWdChUkIcQh6BWeeLK6EwbVyouceb/AJ2Wqo1DZVmjeZgZWX/RHABtovseXHwVUkIQQx6CTIe7WfCztWQMlsrsgm0s2ZCnVDg1GH8XxlzHvvRw5KkhCiIPQAhEXcWJuJ7Ri0+y8Li7I03AkemwX41HEe7iv8DWoIAkhDiQY/vsnYkb9fCiapwwq9nHDmqd6KD/QbrBUkIQQB6KH4YE7Do1vhcYN+qLzvHPwiOOf/TCoIAkhjiXiLnwubMLSFYex9ZwIqvd85jo1KkhCiGMxRSI+UgafgFDIFFqYqSAJISQJb0QTjIlmmD7EqetUqCAJIcQGKkhCCLGBCpIQQmyggiSEEBuoIAkhxAYqSEIIsYEKkhBCbKCCJIQQG6ggCSHEBipIQgixgQqSEEJsoIIkhBAbqCAJIcQGKkhCCLGBCpIQQmyggiSEEBuoIAkhxAYqSEIIsYEKkhBCbKCCJIQQG6ggCSHEBipIQgixgQqSEEJsoIIkhBAbqCAJIcQGKkhCCLGBCpIQQmyggiSEEBuoIAkhxAYqSEIIsYEKkhBCbKCCJIQQG6ggCSHEBipIQgixgQqSEEJsoIIkhBAbqCAJIcQGKkhCCHkt4H8iZp661cUtewAAAABJRU5ErkJggg==)
For a certain mass of a gas Isothermal relation between ‘P’ and ‘V’ are shown by the graphs at two different temperatures T1 and T2 then
![](data:image/png;base64,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)
physics-General
maths-
maths-General
maths-
If the chord joining two points whose eccentric angles are
and
cuts the major axis of an ellipse
+
= 1 at a distance c from the centre, then tan
. tan
is equal to
If the chord joining two points whose eccentric angles are
and
cuts the major axis of an ellipse
+
= 1 at a distance c from the centre, then tan
. tan
is equal to
maths-General