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

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mathematics cbse 2017

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.

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mathematics cbse 2017 1

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:

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mathematics cbse 2017 2

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

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mathematics cbse 2017 3

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

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