Plus Two HSE 12th Std +2 Model Question Paper : Maths www.dhsekerala.gov.in

[mariammal]

MODEL EXAMINATION 2011-12
MATHEMATICS(COMMERCE)
[b]Maximum Score 80
HSE II (Including cool off time 15minutes)

General Instructions :
** You are not allowed to write answers or discuss anything with others during cool off time.
** Cool off time is for familiarizing questions and planning answers.
** All questions are compulsory and only internal choice is allowed
** When you select a question all sub questions must be answered from the same question itself.

http://dhsekerala.gov.in/ques_download.aspx
http://dhsekerala.gov.in/downloads/q..._19_co%202.pdf

4.(a) Consider the curve y=HL and the straight line y=2x+3
(i) Find the points of intersection of the given curve and the straight line.
(ii)Find the area of the region bounded by the given curve and the straight line . OR (1+3)
(b)Conisder the curves y2=x and x2=y
(i)Find the points of intersection of these two curves.
(ii)Find the area of the region enclosed by the given two curves. (1+3)
6. A company manufactures two products A and B on which the profits earned per unit are Rs 30/-and Rs 40/-respectively.Each product is processed on two machinesM1 and M2 .One unit of product A requires 1 hour of processing time on M1and 2 hours on M2 while one unit of product B requires 1 hour each on M1 and M2 . Machines M1 and M2 are available at most 10 hours and 12 hours respectively during a working day.The company wants to know how many units of each product A and B
should produce to maximize the profit. To formulate a linear programming problem,
(i)Write the objective function. (ii)Write all the constraints . (1+3)
7. Consider the following linear programming problem.
Maximise Z=3x+2y, Subject to: x+2y=10, 3x=y=15, x,y=0
(i)Draw the graph of the straight lines x+2y=10,3x +y=15 on the same plane (ii)Solve the given linear programming problem graphically. (2+2)
8. If A=Q 2 -3 1 4 -2 5 -1 3 2R,then (i) Find AT (ii) Find A+AT and A-AT
(iii) Express A as the sum of a symmetric and a skew symmetric matrices. (1+2+2)

MATHEMATICS MODEL EXAMINATION FEBRUARY-2012
Time :2 ½ Hours Maximum Marks : 80
Cool off time :15 minutes
1. a) Construct a 3x3matrix A whose elements are given by aij = i+j (1)
b) Express the above matrix A as the sum of a symmetric matrix and a skew-symmetric matrix. (3)
c) If B= Find AB (2)
2. a) Find the principal value of (1)
b) Evaluate Sin (3)

http://dhsekerala.gov.in/downloads/q...9_question.pdf

3. a) P(A)= , P(B) = , P(A B)= . Find P (A/ (1) b) A die is tossed thrice. Find the probability of getting an odd number at least once. (2)
4. Consider the following function F( , (2) a) Find left hand limit and right hand limit at -2 b) ST f (x) is continuous at x=-2 (1) c) Also ST f (x) continuous everywhere in R (1)
5. a) The area bounded by the curve y = f(x), x-axis and the lines x=a and x=b, b>a is …………… (1) b) Find the area enclosed by the parabola y2 = 16 x bounded by its latus rectum (3)
6. a) S.T y= ex+1 is a solution of differential equation yll-yl = 0 (1) b) Solve the differential equation (1+x2) + y = tan-1x (3)
7. a) A function f:X Y is onto if range of f = ………. (1) b) Let f be greatest integer function and g be the absolute value function. Find the value of gof (1) c) ST the binary operation a b = 1, for every a,b N is both commutative and associative (2) d) Let Q be the set of rational numbers and be the binary operation on Q defined by a b = for all a, b Q. Find the identity element of in Q. (1)
8. a) …………………. (1) b) Find the value of dx (2) c) Evaluate dx (2) 9. a) Evaluate the definite integral as the limit of a sum. (3) b) S.T (2) 10.a)Find the shortest distance between the lines (3) b) Find the equation of the plane that contains the point (1,-1,2) and perpendicular to each of the planes 2x+3y-2z=5 and x+2y-3z=8 (2) or a) A line makes angels with the diagonals of a cube.P.T (5)
11. a) Given that the two numbers appearing on throwing two dice are different. Find the probability of the event ‘the sum of numbers on the dice is 4’. (2) b) Probability that A speaks truth is . A coin is tossed, a reports that a head appears. Then find the probability that there occurs a head actually. (3) Or a) Three fair coins are tossed and X be the number of heads turning up. Write the probability distribution of X. (2) b) On a multiple choice examination with three possible answers for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing? (3)
12. a) A matrix of order 3x3 has determinant 5. What is the value of (1) b) Solve the system of equation using matrices, (3) c) Using properties of determinant solve the following (2)
13. a) Differentiate y= (3) b) Verify Rolle’s theorem for the function (3)
14. a) S.T the function strictly increasing on R (1) b) A stone is dropped into a quite lake and waves move in a circle at the speed of 5cm/s. at the instant when the radius of the circular wave is 8 cm, how fast is the enclosed area increasing ? (2)
c) Find the equation of the tangent and normal to the parabola at the point ( ) (3)
15. let , and represent the position vectors of three points A, B and C. Then, a) Find a vector in the direction of AB which has magnitude 3. (1) b) Find a vector which is perpendicular to both BC and AC. (3) c) S.T A,B,C forms the vertices of a right angled triangle. (2)
16. One kind of cake requires 200g of flour and 25g of fat and another kind of cake requires 100 g of flour and 50 g of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuring that there is no shortage of the other ingredients that there is no shortage of the other ingredients used is making the cakes. (6)

[Guest]

I want plus 2 model question paper of Mathematics for Kerala board.

You can download the model question paper from the below link
http://www.indianjobtalks.com/forum/...6&d=1330071867

[Guest]

Will you give me the answers of the physics model question paper?