updates about cbse, university exams, results and other news

 

 Cbse annonces tentative dates for class xii practicals exams 2020-2021

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The IIM CAT 2020 admit cards  can be dowloaded 28th october 2020 evening onwards and the exam may be held on 29th november 2020

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 The online exam application forms for private students appearing  in cbse board 10th and 12th exams in 2021 is available at cbse website

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Anna university has given 75 days to engineering colleges to finish the theory portion of this semester ( using online ? mode.) by October 26 

*CBSE has released Teacher energised manuals for science and maths for 6th to 10th it is available on  http://cbseacademic.nic.in/

* There seems to be a one time exemption this year for students who have cleared only basic math paper in class 10 cbse board exam and who want to take up math in 11th standard in 2020 -2021 session.

*  The dates for application for optional exam for class 12th students who want to better their marks has been announced.The last date seems to be August 22nd .

* The date of application for compartment exams for class 12th students has been announced

* Regular students might have to apply through their schools while  private students may have to apply online. 

* Students can access more details at http://cbse.nic.in/ 

or cbse website 

 

*The exams may be held in September.

* cbse marking schemes for various exams in 10th and 12th is available at

https://www.jagranjosh.com/articles/cbse-marking-scheme-2020-for-10th-12th-released-download-pdf-1596814891-1

 

 

chapter 8 binomial theorem miscellaneous exercise

 1.Find a , b and n in the expansion of (a+b)^n if the first three terms in the expansion are 729, 7290, 30375

solution

 

2.  Find a if the coefficients of (x^2)  & (x^3) in the expansion of {(3+ax)^9} are equal 

solution

  3.find the coefficient of {x^5} in the expansion of{(1+2x)^6}{(1-x)^7}

solution

 

5.evaluate { (sqrt(3) + sqrt(2))^6 } - { (sqrt(3) - sqrt(2))^6 }

solution 

 6.find the value of [(a^2)+sqrt{(a^2)-1}]^4 + [(a^2)-sqrt{(a^2)-1}]^4 

solution

 

7.find an approximate value of (0.99^5) using the first three terms of its expansion

solution  

 

8.find n if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of [(fourth root of 2) + {1/(fourth root of 3)}]^n is (sqrt6):1 

solution

 

exercise 8.2

 

 5. find the 4th term in the expansion of (x-2y)^12

solution

7. Find the middle terms in the expansion of [3 - ((x^3) / 6)]^7

solution

Q8) Find the  middle terms in the expansion of [(x/3)+9y)]^10

solution

 

 10.The coefficients of the (r-1)th, rth, (r+1)th  terms in the expansion of [(x+1)^n] is in the ratio 1:3:5. Find n and r.

solution

 

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