Maths 12th Std / +2 / Plus Two Model Question Paper : www.jac.nic.in Jharkhand

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Document Described : Maths Question Paper, Jharkhand Question Paper

MATHEMATICS
Full Marks - 100
Pass Marks- 33
Time - 3 Hours
Candidates are required to write the Section Code and the Question No. with every answer.
All questions are compulsory.

http://jac.nic.in/model_questions.htm
http://jac.nic.in/pdf/model_question...atics12_08.pdf

General Instructions :
The question paper consists of 26 questions divided into three Sections ? A, B and C.
Section-A is compulsory for al students.
In addition to Section?A, every student has to attempt either Section?B or Section-C.
Use of calculator is not permitted. However, you may ask for logarithmic and statistical tables, if required.
For Section-A:
Question Nos. 1 to 8 are of 3 marks each.
Question Nos. 9 to 15 are of 4 marks each.
Question Nos. 16 to 18 are of 6 marks each.
For Section-B/Section-C:
Question Nos. 19 to 22 are of 3 marks each.
Question Nos. 23 to 25 are of 4 marks each.
Question Nos. 26 is of 6 marks.

Section - A :
2. Using properties of determinant, prove that :
a b b c c a
b c c a a b
c a a b b c
0.
3. If (`{X) P(A) = 0.6, P(B) = 0.3 and (VWm) P(A B) = 0.1, find P A B a f.
4. A and B appear for an interview. Probability of A?s success is 3 4 and that of B?s success is 1
5 . What is the probability that only one of them is selected ?
9. In a Boolean Algebra B, prove that :
11. Differentiate x w.r.t. x by the first principle.
13. The radius of a spherical bubble is increasing at the rate of 1
4 cm/sec. Find the rate at
which its volume is increasing when the radius is 2 cm.
16. Solve the following system of equationsby matrix method:
17. Sum of two positive numbers is 24. Find the numbers so that their product is maximum.
18. Find the area of the region between the curve y2 = x and the line x + y = 2.

Section : B
20. Show that:
21. A stone is dropped into a well and it hits the water after 5 seconds. Find the depth of the well and the velocity of the impact. [g = 9.8 m/s2]
22. A bal has a range R on a horizontal plane. If H, H are the greatest heights and t, t the times of flights in the two possible paths, then show that R = 4 1
25. Find the centre and radius of the sphere:
2x2+ 2y2+ 2z2+4x ? 6y +8z ? 12 = 0
19. If A and B are independent events such that P(A) = 1
20. Find the binomial distribution for which the mean is 4 and variance 2.
21. Find the banker?s gain on a bil of Rs. 30,000 due 4 months hence at 5% per annum.
22. The true discount on a bil of Rs. 1,680 due 10 months hence is Rs. 80. Find the rate, the banker?s discount and the banker?s gain.
24. The demand function of a new product is
given by p = 30 ? x
5 , where x is the number of units produced and p is the price per unit. Find the maximum revenue.
25. Calculate the future amount of an ordinary annuity of Rs. 3,000 per annum for 10 years at 10% per annum, compounded annually.
[Use 1.110 = 2.594]