J.K.G. INTERNATIONAL SCHOOL INDIRAPURAM

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1 J.K.G. INTERNATIONAL SCHOOL INDIRAPURAM Class- XII A Summer Vacation Home Assignment Session Physics:- 1. Revision of chapters done in the class for UT s preparation. 2. Do following projects and make a project report of the same. a. To study various factors on which the internal resistance/emf of a cell depends. (Roll no 1-9) b. To design an appropriate logic gate combination for a given truth table. (Roll no 10-18). c. To estimate the charge induced on each one of two identical Styrofoam (orpith) balls suspended in a vertical plane by making use of coulomb s law. (Roll no 19-27). d. To study earth s magnetic field using tangent galvanometer. (Roll no 28-36). e. To investigate the dependence of angle of deviation on the angle of incidence using a hollow prism filled one by one with different transparent fluids. (Roll no-37-45). Biology:- 1. Prepare for UT-1 Examination. 2. Make a investigatory project on the related topics. 3. Complete your practical work in your record file. Chemistry:- 1. Prepare investigatory project for board exam. Topics given in lab manual. 2. Prepare UT 1 syllabus. 3. Do numerical practice of solid state and solution.

2 English:- 1. Revise all the syllabus given for Unit Test Read the novel The Invisible Man. 3. Write an article on the topic- Should we buy things because they are advertised? Information Practices:- 1. Complete Practical file of JAVA, SQL, HTML 2. Learn Ch-1,8,9,10 for UT Learn the syntax of all the SQL queries. 4. Learn key points of summary of the syllabus covered. Commercial Art:- Practical Work: 1. Colour Wheel 2. Composition Daily Life Scenes Five Sheets 3. Greeting Card 4. Book Cover Designing 5. Educational Poster Physical Education:- 1. Learn 10 Yoga postures and practice them and prepare a Math:- file about their benefits with photograph of that posture. 2. Visit any nearby hospital or dietician and prepare a diet chat according to your health. 1. Evaluate i) sin(3sin 0.4) ii) sin(2 sin 0.8) 2. Prove that sin (cos(sin ))+cos (sin(cos ))= 3. Evaluate tan( cos ) 4. Express each of the following in the simplest form:

3 1) tan ( ) 2) sin ( ) 3) tan 4)tan ( ) 5. Prove that 1) sin +cos +tan =π 2) tan ( 3) tan ( )= + )= + cos 4) tan( + cos )+ tan( - cos )= 5) 2tan +sec +2tan = 6) tan + tan +tan +tan = 7) If a>b>c>0 prove that cot ( )+ cot ( ) + cot ( )=π 8) If y=cot ( cos )) tan ( cos ) prove that siny=tan 2 x/2 9) If cos +cos =ß prove that -2xycos ß+ =sin 2 ß 10) If cos +cos + cos = then prove that x 2 +y 2 +z 2 +2xyz=1 11). For what value of x the matrix A= x ). If = Find the value of A.(Adj.A) without finding Adj.A 13). A matrix A of order 3X3, has determinant 4. Find the value of I3AI 14). Find the number of all possible matrices of order 2 with each entry 5,2, or 1 15). If A is an invertible matrix of order 2 with determinant 5, then find IA I 16). Let A be non singular matrix of order 3X3 with IAI=7 Find Iadj AI. 17). If A=[1 2]B= then find order of(ab)

4 18). If A= B= Verify 3(A+B)=3A+3B 19). Find the matrix X for which X= ). If A = find A -1, Solve the system of Linear Equations x y=10, 2x+y+3z=8, -2y+z=7. 21). Determine the product system of equations and use it to solve the x-y+z=4, x-2y-2z=9, 2x+y+3z=1 22). Find the inverse of the following matrices by using ERT i) ) iii) ). Ram purchases 3 pens, 2 bags and 1 instrument box and pays Rs. 41. From the same shop, Shyam purchases 2 pens, 1 bag and 2 instrument boxes and pays Rs 29, while Ankur purchases 2 pens, 2 bag and 2 instrument boxes and pays Rs 44. Translate the problem into a system of equations. Solve them by matrix method and hence find the cost of one pen, one bag and one instrument box. 24). Without Expanding Evaluate : 25). Without Expanding Prove that =0 26). Prove that: =abc(a-b)(b-c)(c-a) 27). Prove that : =2 28). Prove that : =( + + )

5 29). Prove that : ( + ) ( + ) ( + ) =2abc( + + ) 30). Prove that : =(a-b)(a-c)(a-d)(b-c)(b-d)(c-d) 31). Prove that: =1 32). Kellogg is a new cereal formed of a mixture of bran and rice that contains at least 88 gms. Of protein and at least 36 milligrams of iron. Knowing that bran contains 80 gms of protein and 40 milligrams of iron per kilogram, and that rice contains 100 gms of protein and 30 milligrams of iron per kilogram. Find the minimum cost of producing this new cereal if bran costs Rs. 5 per kilogram and rice costs Rs. 4 per kilogram. 33). A diet for a sick person must contain at least 4000 units of vitamins, 50 units of minerals and 1400 units of calories. Two foods A and B are available at a cost of Rs. 4 and Rs. 3 per unit respectively. If one unit of A contains 200 units of vitamins, 1 unit of minerals and 40 units of calories and one unit of food B contains 100 units of vitamins, 2 units of minerals and 40 units of calories, Find what combination of foods should be used to have at least cost? 34). A housewife wishes to mix up two kinds of foods X and Y in such a way that mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of 1 kg of food Y are given in the following table : Food Vitamin A Vitamin B Vitamin C X Y ). A company has factories located at each of the two places P and Q. From these locations, a certain commodity is delivered to each of the three depots at A,B and C. The weekly requirements of depots are respectively 7,6 and 4 units of the commodity while the weekly production capacities of the factories at P and Q are respectively 9 and 8 units. The cost of transportation per unit is given in the table:

6 To Cost (in Rs.) A B C From From P Q

Class- XI C Summer Vacation Home Assignment Session

Political Science:- Complete the following ;- J.K.G. INTERNATIONAL SCHOOL INDIRAPURAM Class- XI C Summer Vacation Home Assignment Session 2017-18 1. Locate the ASEAN members on the map. Find out the location