CBSE Class 12 Maths Sample Paper 2022 – 23 Solutions
CBSE Class 12 Maths Sample Paper 2022: Central Board of Secondary Education(CBSE) has released the CBSE Class 12 Maths Sample Paper 2022 – 23 on its official website on 16th September 2022.
SECTION A
Q1. If A =[aij] is a skew-symmetric matrix of order n, then
(a) = 1/aij ∀ , (b) ≠ 0 ∀ , (c) = 0, ℎ = (d) ≠ 0 ℎ =
Q2. If A is a square matrix of order 3, |′| = −3, then |′| =
(a) 9 (b) -9 (c) 3 (d) -3
Q3. The area of a triangle with vertices A, B, C is given by
(a) ⃗ × ⃗ (b) ⃗ × ⃗ (c) 1/4⃗ × ⃗ (d) 1/8⃗ × ⃗
Q5. If f/ () = + , then () is
(a) X2 + log || + (b)X2+ log || + (c) x/2 + log || + (d) x/2− log || +
CBSE Sample Paper Math 2022Section E
Q36. Case-Study 1: Read the following passage and answer the questions given below.
The temperature of a person during an intestinal illness is given by
() = −0.1ଶ + + 98.6,0 ≤ ≤ 12, m being a constant, where f(x) is the
(i) Is the function differentiable in the interval (0, 12)? Justify your answer
(ii) If 6 is the critical point of the function , then find the value of the constant m.
(iii) Find the intervals in which the function is strictly increasing/strictly decreasing.
OR
(iii) Find the points of local maximum/local minimum, if any, in the interval (0, 12) as well as the points of absolute maximum/absolute minimum in the interval [0, 12]. Also, find the corresponding local maximum/local minimum and the absolute maximum/absolute minimum values of the function
Q37.) Case-Study 2: Read the following passage and answer the questions given below
In an elliptical sport field the authority wants to design a rectangular soccer field with the maximum possible area. The sport field is given by the graph of
x^2 / a^2 + y^2 / b^2 = 1
(i) If the length and the breadth of the rectangular field be 2x and 2y espectively, then find the area function in terms of x.
(ii) Find the critical point of the function.
(iii) Use First derivative Test to find the length 2x and width 2y of the soccer field (in terms of a and b) that maximize its area.
OR
(iii) Use Second Derivative Test to find the length 2x and width 2y of the soccer field (in terms of a and b) that maximize its area.
Q38.) Case-Study 3: Read the following passage and answer the questions given below
There are two antiaircraft guns, named as A and B. The probabilities that the shell fired from them hits an airplane are 0.3 and 0.2 respectively. Both of them fired one shell at an airplane at the same time.
(i) What is the probability that the shell fired from exactly one of them hit the plane?
(ii) If it is known that the shell fired from exactly one of them hit the plane, then what is the probability that it was fired from B?
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FAQ-
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