65Inter-Maths-IIA.pdf

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Intermediate-2012 MATHS IIA Guess Paperby www.manabadi.com

Get your Inter 2nd Year Results by SMS once released by Inter board.To Get Results: ISY H.T.No. and send SMS to 54999

Eg: if your HT NO is 100, then send sms as ISY 100 to 54999Section A

Note:1. Answer all the questions2. Each question carries 2 Marks3. All are very short Answer Type Questions

1. If the equation x2-15-m(2x-8)=0 has equal roots, find the values of m.2. Find the polynomial equation whose roots are the Squares of the roots of

x4+x3+2x2+x+1=0.

3. Is0 1 41 0 74 7 0 Symmetric or Skew Symmetric?









x4+x3+2x2+x+1=0.










x4+x3+2x2+x+1=0.





4. Find the rank of A =1 2 32 3 40 1 2 using elementary transformations.

5. Find the number of ways of preparing a chain with 6 different colored beads.6. Find the number of positive divisors of 1080.7. If 22Cr is the largest binomial co-efficient in the expansion of (1+x)22 find the value of 13Cr.8. Show that 1+ . + . + . +. . . = .9. Find the probability that a non-leap year contains 53 Sundays.10. For a binomial distribution with mean 6 and Variance 2 find the first two terms of the

distribution.


Eg: if your HT NO is 100, then send sms as ISY 100 to 54999

Section BNote:

1. Answer any FIVE questions2. Each question carries 4 Marks3. All are short Answer Type Questions






distribution.



Section BNote:







distribution.



Section BNote:





11. Solve + =12. If I= 1 00 1 and E = 0 10 0 Then show that (aI+bE)3=a3I+3a2bE.13. Find the number of numbers that are greater than 4000 which can be formed using the

digits 0, 2, 4, 6, 8 without repetition.14. How many ways can the letters of the word ENGINEERING be arranged so that 3Ns

come together but 3Es do not come together.15. Resolve ( )( ) into partial fractions.16. Find the Sum of series 1+ ! + ! + ------------17. If A, B, C are three events show that

P(ABC) = P(A)+P(B)+P(C)-P(AB) P(BC) P(CA) + P(ABC)


Eg: if your HT NO is 100, then send sms as ISY 100 to 54999Section C

Note:1. Answer any FIVE questions2. Each question carries 7 Marks3. All are Long Answer Type Questions

18. Solve the equation. 6 25 + 31 31 + 25 6 = 019. Show that

2 22 22 2 = ( + + ) .20. Solve the following system of equations by Gauss-Jordan method

x+y+z=92x+5y+7z=522x+y-z=0

21. Using the binomial theorem, Prove that 50n49n-1 is divisible by 492 for all positiveintegers n

22. Find the Sum of the infinite series + .. + . .. . + 23. State and Prove addition theorem on Probability.24. The Probability distribution of a random variable X is given below













x+y+z=92x+5y+7z=522x+y-z=0















x+y+z=92x+5y+7z=522x+y-z=0






X=xi 1 2 3 4 5P(X=xi) K 2K 3K 4K 5K

Find the value of K and the mean and variance of X.




X=xi 1 2 3 4 5P(X=xi) K 2K 3K 4K 5K





X=xi 1 2 3 4 5P(X=xi) K 2K 3K 4K 5K


65Inter-Maths-IIA.pdf

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