National Institute of Open Schooling Senior Secondary Exam-Math (311) previous years - 2017-2018 StudyChaCha

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Old May 30th, 2014, 10:24 AM
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Default National Institute of Open Schooling Senior Secondary Exam-Math (311) previous years

Will you please give me the National Institute of Open Schooling Senior Secondary Exam-Math (311) previous years question papers?
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Old May 30th, 2014, 05:45 PM
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Default Re: National Institute of Open Schooling Senior Secondary Exam-Math (311) previous ye

As you want to get the National Institute of Open Schooling Senior Secondary Exam-Math (311) previous years question papers so here is the information of the same for you:

Some content of the file has been given here:

MATHEMATICS
(311)
Time : 3 Hours ] [Maximum Marks : 100
Note (i) This Question Paper consists of two Sections, viz., ‘A’ and ‘B’
(ii) All questions from Section ‘A’ are to be attempted.
(iii) Section ‘B’ has got more than one option. Candidates are required to attempt
questions from one option only.
1. Evaluate :
2. Prove that
3. Using the properties of determinants, Prove the following :
4. Prove that
5. If r cos
6. Prove that
7. How many numbers greater than 4000 can be formed with the digits 2,3,4,5 and 6
when no digit is repeated ?
8. Determine whether the function f(x)= x3
9. Find the equation of the line which makes equal intercepts on both axes and
passes through the point (4,3).
10. Show that among rectangles of given area, the square has the least perimeter.
11. Evaluate :
12. If
13. If I, w and w2 are cube roots of unity, unity prove the following :
14. If A=
15. Find the Sum of the following series :
16. 2+22+222+…………….. to n terms
17. Find the equation of the circle which touches the axis of x and passes through the
points (-1,2) and (-3,4).
18. Find the intervals in which the function f(x)= 2x3-3x2 –12+6( a) increasing, (b)
dcreasing.
19. Find the equation of tangent to the circle x2 + y2 = 2 at the point (1,1) 4
20. Show that y =cx+a/b is the solution of the differential equation y=xdy/dx+adx/dy.
21. Solve the equation sin2 +cos= for general solution.
22. If C0, C1, C2,……, Cn are binomial coefficients in the expansion of (1+X)n ,
prove that.
23. Find the area of the region bounded by the two parabolas y2 = x and x2=y.
24. Find the sum of the following infinite series. : 1+1/3(1/2)2+ +1/5(1/2)4+……..
25. Find
26. If
27. Find the square root of 3++2i.
28. Using matrices, solve the following system of equations. : 2xy+
z=2;2x+y+z=4;x+2y+2z=5 5
29. Computer the mean and standard for the following data:
Classes 0-10 10-20 20-30 30-40 40-50 Total
Frequency 2 3 5 7 3 20
30. For events A and B, if P(A)=1/4,P(B)=1/2 P(B)=1/2, P
31. The mean and variance of binomial distribution are 3 and 4/9 respectively. Find
the distribution and P(X>1).

OPTION –II
(Linear Programming)
28. Find the dual of the following problem :
Z= 16x1+9x2+21x3
X1+x2+3x3>16
2x1+x2+x3>0
29. Four persons A,B, C and D are to be assigned four jobs I, II, III and IV. The cost
matrix is given below . Find the proper assignment :
A B C D
I
II
III
IV
8 10 17 9
3 8 5 6
10 12 11 9
6 13 9 7
30. Solve the following linear programming problem graphically :
Maximize Z = 8x+19y
Subject to
X+5y<200
2x+3y<134
x>0, y>0

OPTION –III
(Vectors and 3-D Geometry)
28. Find the Value of so that the vector and perpendicular to each other.
29. Find the equation of the line passing through the point (2,1,-4) and parallel to the
line
x+3/4=y-2/1=z-5/3
30. Find the equation of sphare concentric with the sphere x2 +y2 +z2-2x-2y-2z-6=0
This question paper consists of 36 questions [Section-A (27)+Section – B(3+3+3)]
and 8 printed pages.


For more detailed information I am uploading PDF files which are free to download:

Contact Details:
National Institute Of Open Schooling
Shop No. D-10, Main Road,
Brijpuri Rd, Brij Puri,
Mustafabad,
New Delhi,
Delhi 110094 ‎
099 53 958483
India

Map Location:
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