CBSE 12th Maths Answer Key 2023 Set 1 2 3 4 Question Paper PDF

This text will talk about the CBSE Twelfth Maths Reply Key 2023; Maths set 1, 2, 3 & 4 & PDF of query paper & steps to obtain that PDF.

CBSE Twelfth Maths Reply Key 2023

On 11 March 2023, The Central Board of Secondary Training will conduct the Twelfth-class arithmetic examination. The CBSE Twelfth Maths Reply Key shouldn’t be but formally introduced. However we are going to offer you the reply key as soon as it will get formally launched. College students can depend on us; we are going to replace the next article with the official CBSE Twelfth Maths Reply Key. The Arithmetic reply key of sophistication Twelfth will assist college students in some ways; they’ll cross-check their solutions with the reply key & can estimate their marks in accordance with that. With these reply keys, they’ll verify their marks earlier than the end result will get introduced.

As per the Class 12 Time period 2 Examination revised scheme. CBSE has carried out the primary time period examination & is now prepared for the time period 2 class 2. The Maths Pattern Paper Class 12 Time period 2 scheme is mentioned under:

• The query paper of this pattern paper will comprise three sections- A, B & C.
• Part A will comprise six brief reply sort questions, every carrying two marks.
• Part B will include 4 brief reply sort questions, every with three marks.
• Part C will comprise 4 lengthy answer-type questions of 4 marks every.
• You possibly can see some questions with some inside selection choices on this pattern paper.
• There’s a final query, q.14, with two sub-parts of every two marks.

CBSE Twelfth Maths Query Paper SET 1 2 3 4

Now we have offered a pattern query paper which is formally launched by the Central Board of Secondary Training, under on this article. This pattern paper covers all of the questions of every set in order that college students can follow their greatest for the CBSE Twelfth Arithmetic examination. There might be 4 units for the query paper, which college students should attend. There are 4 completely different units which contains completely different questions, in order that college students cannot cheat within the examination.

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CBSE Twelfth Maths Query Paper PDF

Now we have offered a pattern query paper under on this article which may profit a lot of the college students. College students can follow for his or her examinations by fixing these questions. The Central Board of Secondary Training has formally launched these pattern papers.

Part A

Q1. If A is a sq. matrix of order 3, |′| = −3, then |′| =

(a) 9 (b) -9 (c) 3 (d) -3

Q2. If A =[aij] is a skew-symmetric matrix of order n, then

Q3. The scalar projection of the vector 3̂− ̂− 2 on the vector ̂+ 2̂− 3 is

(a) 7/√14 (b) 7/14 (c) 6/13 (d) 7/2

This autumn. The answer set of the inequality 3x + 5y < 4 is

(a) an open half-plane not containing the origin.

(b) an open half-plane containing the origin.

(c) the entire XY-plane doesn’t comprise the road 3x + 5y = 4.

(d) a closed half-plane containing the origin

Q5. Given two impartial occasions A and B such that P(A) =0.3, P(B) = 0.6, and P(′ ∩ ′) is

(a) 0.9 (b) 0.18 (c) 0.28 (d) 0.1

(d) at each level of the road phase becoming a member of the factors (0.6, 1.6) and (3, 0)

Q6. The final resolution of the differential equation − = 0 (a) = (b) = ² (c) = (d) = ²

Q7. The nook factors of the shaded unbounded possible area of an LPP are (0, 4), (0.6, 1.6) and (3, 0), as proven within the determine. The minimal worth of the target operate Z = 4x + 6y happens at

(a)(0.6, 1.6)

(b) (3, 0) solely

(c) (0.6, 1.6) and (3, 0) solely

Q8. If A is a sq. matrix of order 3 and |A| = 5, then || =

(a) 5 (b) 25 (c) 125 (d)1/5

Q9. P is a degree on the road becoming a member of the factors (0,5, −2) and (3, −1,2). If the x-coordinate of P is 6, then its z-coordinate is

 (a) 10 (b) 6 (c) -6 (d) -10

Part B

Q10. A person 1.6 m tall walks on the price of 0.3 m/sec away from a avenue mild that’s 4 m above the bottom. At what price is the tip of his shadow shifting? At what price is his shadow lengthening?

Part C 

Q11. Three associates go for espresso. They determine who can pay the invoice by every tossing a coin after which letting the “odd particular person” pay. There isn’t any odd particular person if all three tosses produce the identical end result. If there is no such thing as a odd particular person within the first spherical, they make the second spherical of tosses and proceed to take action till there may be an odd particular person. What’s the likelihood that precisely three rounds of tosses are made?

OR

Discover the imply variety of faulty objects in a pattern of two objects drawn one-by-one with out alternative from an urn containing 6 objects, which embody 2 faulty objects. Assume that the objects are similar in form and dimension

Part D

Q12. Make a tough sketch of the area {(, ): 0 ≤ ≤ ², 0 ≤ ≤ , 0 ≤ ≤ 2} and discover the world of the area utilizing integration

Q13. Outline the relation R within the set × as follows: For (a, b), (c, d) ∈ × , (a, b) R (c, d) if advert = bc. Show that R is an equivalence relation in × . Given a non-empty set X, outline the relation R in P(X) as follows: For A, B ∈ (), (, ) ∈ symmetric.

SectionE

Q14. Case Examine 3: Learn the next passage and reply the questions given under. There are two antiaircraft weapons, named A and B. The likelihood that the shell fired from them hits an aeroplane is 0.3 and 0.2, respectively. Each of them fired one shell at an aeroplane on the identical time.

(i) What’s the likelihood that the shell fired from exactly one among them hit the aircraft?

(ii) Whether it is recognized that the shell fired from exactly one among them hit the aircraft, then what’s the likelihood that it was fired from B?

Q15. Case Examine 1: Learn the next passage and reply the questions given under.

The temperature of an individual throughout an intestinal sickness is given by () = −0.1² + + 98, the temperature in °F at x days.

(i) Is the operate differentiable within the interval (0, 12)? Justify your reply.

(ii) If 6 is the vital level of the operate, then discover the worth of the fixed m.

(iii) Discover the intervals wherein the operate is strictly rising/strictly reducing.

Q16. Case Examine 2: Learn the next passage and reply the questions under.

For an elliptical sports activities subject, the authority desires to design an oblong soccer subject with the utmost potential space. The sports activities subject is given by the graph of ²/a²+ y²/b² = 1

(i) If the size and the breadth of the oblong subject be 2x and 2y, respectively, then discover the world operate by way of x.

(ii) Discover the vital level of the operate.

(iii) Use the First spinoff Check to search out the size 2x and width 2y of the soccer subject (by way of a and b) that maximize its space.

OR

(iii) Use Second Spinoff Check to search out the size 2x and width 2y of the soccer subject (by way of a and b) that maximize its space.

Steps to Obtain CBSE Pattern Paper

Now we have talked about a number of steps under, following which you’ll obtain CBSE Class Twelfth Maths pattern paper.

• Go to the official web site we’ve talked about under on this article.
• Seek for the notification “Pattern query papers of sophistication XII exams 2022-23”.
• Seek for the Maths pattern query paper.
• Press on the obtain button to obtain the pattern query paper PDF.
• After downloading it, reserve it in your system storage.

Official Website the place you possibly can observe the steps as talked about earlier.

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