CBSE Term 2 Question Paper for Class 12 – Maths
Question Papers for Maths of Class 12 Exam are important enough for students to practice answer writing style. Maths is one of the most popular subjects in CBSE Examination Board. Every student works a fear towards exams. The Sample Questionnaire appears to be a way to overcome that fear. Class 12 Exam syllabus is much longer. Model Q&A is created based on the complete syllabus. And based on this question and answer, the students get an idea of how they will prepare for the exam. Experts prepare this Question Paper according to the syllabus. Stay involved in the previous year question paper. Seeing the Q&A of it gives the students a special idea on the division of marks. These ideas increase students’ Class 12 in Maths.
CBSE Term 2 Question Paper Class 12 Exam Maths
Board |
Central Board of Secondary Education 2022 (CBSE Term 2) |
Class |
12th |
Subject |
Maths |
Topic |
Question Paper |
Section – A
1.) The foot of a perpendicular drawn from the point (-2,-1,-3) on a plane is (1,-3, 3). Find the equation of the plane.
2.) A coin is tossed twice. The following table shows distribution of number of tails:
X | O | 1 | 2 |
P (X) | K | 6K | 9K |
(a) Find the value of k.
(b) Is the coin tossed biased or unbiased? Justify your answer.
(3) (a) If |a × b|2+ |a.b|2 = 400 and |n| = 5, then the value of |a|.
(4) Find the general solution of the differential equation
sec2x.tan y dx + sec2y.tan x dy = 0
(5) Evaluate:
1∫0 x2ex dx
(6) There are two bags. Bag I contains 1 red and 3 white balls, and bag II contains red and 5 white balls. A bag is selected at random and a ball is drawn from it. Find the probability that the balls drawn is red in colour.
Section – B
(7) using integration, find the area of the region |(x, y) : y2 ≤ x ≤ y|.
(8) (a) If a line makes 60° and 45° angles with the positive directions of x-axis and z-axis respectively, then find the angle that it makes with the positive direction of y-axis. Hence, write the direction cosines of the line.
OR
(b) Check whether the line x-1/2 = y-2/3 = z-3/4 and x-4/5 = y-1/2 = z are skew or not.
(9) (a) Find:
∫ 1/ex+1 dx
(b) Evaluate:
4 ∫ 1 {|x| + |3-x|} dx
(10) If a and b are two vectors of equal magnitude and α is the angle between them, then prove that
(11) (a) Find the particular solution of the differential equation –
x dy/dx + y + 1/1+x2 + 1/1+x2 = 0, given that y(1) = 0
OR
(b) Find the general solution of the differential equation
x (y3 + x3) dy = (2y4 + 5x3y) dx
(12) Evaluate:
x ∫ 0 x/9sin2x + 16xos2x dx
(13)
Case Study Based Question
(14) In a game of Archery, each ring of the Archery target is valued. The centre most ring is worth 10 points and rest of the rings are allotted points 9 to 1 in sequential order moving outwards.
Archer A is likely to earn 10 points with a probability of 0-8 and Archer B is likely the earn 10 points with a probability of 0-9.
Based on the above information, answer the following questions: If both of them hit the Archery target, then find the probability that
(a) exactly one of them earns 10 points.
(b) both of them earn 10 points.