**CBSE Class 12 Maths Practice Paper 2022:** CBSE Class 12 Maths Term 2 Exam 2022 will be held tomorrow, June 07. Students who are going to appear for the Class 12 Maths Paper, can check here the Maths Practice Paper. This practice paper has been set by the experts according to the latest paper pattern. All the questions are very important from the exam point of view. Therefore, the CBSE Class 12 Maths Practice Paper 2022 is best for last minute revision and score good marks in the CBSE Class 12 Maths Term 2 Exam.

**Check CBSE Class 12 Maths Practice Paper for Term 2 Exam 2022 below:**

**SECTION – A**

1. Find ∫3x/(3x-1) dx

Or

Find ∫tan^{2}(2x-3)dx

2. Find the particular solution of the differential equation (x+1)dy/dx = 2e^{-y} - 1, given y(0) = 0.

**CBSE Class 12 Maths Sample Paper, Marking Scheme for Term 2 Exam 2022**

5. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event “number is even” and B be the event “number is marked red”. Find whether the events A and B are independent or not.

6. Find the probability distribution of X, the number of heads in a simultaneous toss of two coins.

**SECTION – B**

7. Find: ∫ sin^{3}x.cos^{3}x.dx

8. Find the general solution of the differential equation : 2x^{2}dy/dx -2xy + y2 = 0.

OR

Find the general solution o f the differential equation: (xlogx)dy/dx + y = 2logx.

10. Find the equation of the plane passing through the points (0, –1, –1), (4, 5, 1) and perpendicular to the plane 3x + 10y + 5z +12 = 0

OR

Find the equation of the line passing through (1, –1, 1) and perpendicular to the lines joining the points(4, 3, 2), (1, –1, 0) and (1, 2, –1), (2, 2, 1).

**SECTION – C**

11. Evaluate :

12. Using Integration find the area of the region : {(x, y): y ≤x^{2}+ 1, y≤x + 1, 0≤x≤2}.

OR

Using integration compute the area of the region bounded by the curves y^{2 }= 4x and y = 2x.

13. Find the image of the point P(3, 2, 1) in the plane 2x – y + z + 1 = 0.

**14. CASE-BASED/DATA-BASED**

A doctor is to visit a patient. From the past experience, it is known that the probabilities that he will come by cab, metro, bike or by other means of transport are respectively 0.3, 0.2, 0.1 and 0.4. The probabilities that he will be late are 0.25, 0.3, 0.35 and 0.1 if he comes by cab, metro, bike and other means of transport respectively.

Based on the given information, answer the following questions.

(i) When the doctor arrives late, what is the probability that he comes by metro?

(ii) When the doctor arrives late, what is the probability that he comes by cab?

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