Day 61: CBSE Class 12 Maths

5 questions (8 parts). Try each one first, then open its answer.

Question 1
Application of Integrals. This type asked 2 times: 2022, 2023. This one: 2023
29 $\{(x, y) : y^2 \le 2x \text{ and } y \ge x - 4\}$
Question 2
Integrals. This type asked 2 times: 2022, 2023. This one: 2023
26 (a) $\int\limits_{0}^{\pi/4} \log (1 + \tan x) \, dx$
Question 3 (case study, 4 parts)
Probability. This type asked 2 times: 2022, 2023. This one: 2023
There are different types of Yoga which involve the usage of different poses of Yoga Asanas, Meditation and Pranayam as shown in the figure below : The Venn diagram below represents the probabilities of three different types of Yoga, A, B and C performed by the people of a society. Further, it is given that probability of a member performing type C Yoga is $0{\cdot}44$ . On the basis of the above information, answer the following questions :
36 (i) $Find the value of x.$
36 (ii) $Find the value of y.$
36 (iii) (a) $P\left(\frac{C}{B}\right)$
36 (iii) (b) $Find the probability that a randomly selected person of the society does Yoga of type A or B but not C.$
Question 4
Probability. This type asked 2 times: 2022, 2023. This one: 2023
30 (b) $A and B throw a die alternately till one of them gets a '6' and wins the game. Find their respective probabilities of wining, if A starts the game first.$
Question 5
Application of Integrals. Asked once: 2026 (same type asked 5 times)
11 $y = x$
Tap an option to check your answer.

Question 1