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CBSE Class 12 Mathematics Solved Previous Year Board Paper

Students can download free previous year class 12 math board papers for offline practice and get ready for Exam.<br>https://www.zigya.com/blog/cbse-class-12-mathematics-solved-previous-year-board-papers/

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CBSE Class 12 Mathematics Solved Previous Year Board Paper

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  1. CBSE Mathematics 2017 Board Questions www.zigya.com

  2. Mathematics CBSE2017 ExamYear 2017 Study, Assignments, Solved Previous Year Papers . Questions and Answers. FreeForever. Short AnswerType 1. If A is a 3 × 3 invertible matrix, then what will be the value of k if det(A–1) = (detA)k. Answer Determinethevalueoftheconstant‘k’sothatthefunction is continuous at x =0. Answer If a line makes angles 90° and 60° respectively with the positive directions of x and y axes, find the angle which it makes with the positive direction of thez-axis. Answer Show that all the diagonal elements of a skew symmetric matrix arezero. Answer Answer The volume of a sphere is increasing at the rate of 3 cubic centimetres per second. Find the rate of increase of its surface area, when the radius is 2cm. Answer Show that the function f(x) = 4x3 – 18x2 + 27x – 7 is always increasingon R. Answer Prove that Answer Using properties of determinants, provethat Answer 10.Let find a matrix D such that CD – AB =O. Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

  3. Mathematics CBSE2017 ExamYear 2017 Study, Assignments, Solved Previous Year Papers . Questions and Answers. FreeForever. Answer Differentiate the function (sin x)x + sin–1 √xwith respect tox. Answer If xm yn = (x + y)m + n, prove that Answer Evaluate: . Answer Find the vector equation of the line passing through the point A(1, 2, –1) and parallel to the line 5x – 25 = 14 – 7y =35z. Answer ProvethatifEandFareindependentevents,thentheeventsEandF'arealsoindependent. Answer A small firm manufactures necklaces and bracelets. The total number of necklaces and bracelets that it can handle per day is at most 24. It takes one hour to make a bracelet and half an hour to make a necklace. The maximum number of hours available per day is 16. If the profit on a necklace is ` 100 and that on a bracelet is ` 300. Formulate on L.P.P. for finding how many of each should be produced daily to maximize the profit? It is being given that at least one of each must be produced. Answer 17. Answer Find Answer Evaluate: Answer Evaluate: Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

  4. Mathematics CBSE2017 ExamYear 2017 Study, Assignments, Solved Previous Year Papers . Questions and Answers. FreeForever. Answer The random variable X can take only the values 0, 1, 2, 3. Given that P(X =0) = P(X = 1) = p and P(X =2) = P(X = 3) such that Σp x 2 = 2Σp x , find the value ofp. i i ii Answer Often it is taken that a truthful person commands, more respect in the society. A man is known to speak thetruth4outof5times.Hethrowsadieandreportsthatitisasix. Find the probability that it is actually asix. Doyoualsoagreethatthevalueoftruthfulnessleadstomorerespectinthesociety? Answer Solve the following L.P.P. graphically : Minimise Z = 5x +10y Subject to x + 2y ≤ 120 Constraints x + y ≥ 60 x – 2y ≥0 and x, y ≥0 Answer Long AnswerType 24. Useproduct –x + 2y – 2z = 4, 2x – 3y + 4z =–3 to solve the system of equations x + 3z =9, Answer 25. Discuss the commutativity and associativity of binary operation '*' defined on A = Q − {1} by the rule a *b = a − b + ab for all, a, b ∊ A. Also find the identity element of * in A and hence find the invertible elements ofA. Answer 2 −1 26. Consider f : R+ → [−5, ∞), given by f(x) = 9x + 6x − 5. Show that f is invertible with f(y) . HenceFind Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

  5. Mathematics CBSE2017 ExamYear 2017 Study, Assignments, Solved Previous Year Papers . Questions and Answers. FreeForever. (i)f−1(10) (ii) y iff−1(y)=43, where R+ is the set of all non-negative real numbers. Answer If the sum of lengths of the hypotenuse and a side of a right angled triangle is given, show that the area of the triangle is maximum, when the angle between themis π/3. Answer Solve the differential equation Answer Prove that x2 – y2 = c(x2 + y2)2 is the general solution of the differential equation (x3 – 3xy2)dx = (y3 – 3x2y) dy, where C is a parameter. Answer 30.If are mutually perpendicular vectors of equal magnitudes, show that thevector inclined to Also, find theanglewhich with . is equally Answer 31. Let c1 = 1 and c2 = 2, find c3whichmakes coplanar. If c2 = –1 and c3 = 1, show that no value of c1canmake coplanar.Answer Find the area bounded by the circle x2 + y2 = 16 and the line √3y=x in the first quadrant, usingintegration. Answer Using integration, find the area of region bounded by the triangle whose vertices are (–2, 1), (0, 4) and (2, 3). Answer Like. Share. Bookmark. Download. Make Notes. Print - Your Favourite Questions. Joinwww.zigya.com

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