Day 188: CBSE Class 12 Maths

5 questions (6 parts). Try each one first, then open its answer.

Question 1
Integrals. Asked once: 2025 (same type asked 5 times)
30 (a) $\int \frac{\cos 2x}{(\sin x + \cos x)^2}\,dx$
Question 2 (case study, 2 parts)
Probability. Asked once: 2025 (same type asked 5 times)
A shop selling electronic items sells smartphones of only three reputed companies A, B and C because chances of their manufacturing a defective smartphone are only 5%, 4% and 2% respectively. In his inventory he has 25% smartphones from company A, 35% smartphones from company B and 40% smartphones from company C. A person buys a smartphone from this shop.
38 (i) $Find the probability that it was defective.$
38 (ii) $What is the probability that this defective smartphone was manufactured by company B ?$
Question 3
Probability. Asked once: 2025 (same type asked 5 times)
17 $P(A) = \dfrac{1}{5}$
Tap an option to check your answer.
Question 4
Probability. Asked once: 2025 (same type asked 5 times)
18 $Chances that three persons A, B, and C go to the market are 30%, 60% and 50% respectively. The probability that at least one will go to the market is :$
Tap an option to check your answer.
Question 5
Three Dimensional Geometry. Asked once: 2022 (same type asked 5 times)
10 (b) $x = \frac{y - 1}{2} = \frac{z - 2}{3}$

Question 1