2nd PUC Maths 5 Marks Important Questions 2025

2nd PUC Maths 5 Marks Important Questions 2025 given here (Image Credits: pexels.com).

2nd PUC Maths 5 Marks Important Questions 2025: The Department of Pre-University Education, Government of Karnataka, has scheduled the 2nd PUC Maths exam on March 3, 2025, from 10:00 AM to 1:00 PM. Candidates can go through the 2nd PUC Maths 5 Marks Important Questions 2025 here for their reference. Note that the 2nd PUC Maths Examination 2025 will be conducted for 80 marks. The highest weightage Section will be Section D, where the students will have 7 questions for 5 marks, out of which they must attempt any 4 of the questions. These 5 mark questions are likely to be asked from chapters, namely: relations and functions, matrices, determinants, differentiation, integrals, differential equations and application of integrals. The 2nd PUC Maths 5 Marks Important Questions 2025 are available below.

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2nd PUC Maths 5 Marks Important Questions 2025

The 2nd PUC Maths 5 Marks Important Questions 2025 have been provided below.

Question No.	2nd PUC Maths 5 Marks Important Questions 2025
Q1.	If P(A) = 3/5 and P(B)=1/5, find P (AB) if A and B are independent events.
Q2.	Let f: NY be a function defined as f(x) = 4x + 3, where, Y={ye N: y=4x + 3 for some x ∈ N). Show that fis invertible. Find the inverse.
Q3.	A fair coin and an unbiased die are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the die'. Check whether A and B are independent events or not.
Q4.	A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event 'the number is even,' and B be the event 'the number is red. ' Are A and B independent?
Q5.	Let E and F be events with P(E) = P(F) =1 and P (EF) = 3. Are 10 E and F independent?
Q6.	Given that the events A and B are such that P(A) = P(AUB) = 3/5 and P(B)=p. Find p if they are (i) mutually exclusive and (ii) independent.
Q7.	Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find (i) P(A∩B) (ii) P(AUB) (iii) P(AIB) (iv) P(BIA)
Q8.	If A and B are two events such that P(A) = 1/4 P/B = 1/2 and P (A~ B) = 1/8, find P (not A and not B)
Q9.	Let A (1.2.3. B- (4, 5, 6, 7) and let f= {(1, 4), (2, 5), (3.6)) be a from A to B. Show that fis one-one.
Q10.	In each of the following cases, state whether the function is one-one, onto, or objective. Justify your answer. (1) f: R R defined by f(x) = 3-4x
Q11.	Let AR- (3) and B = R - {1}. Consider the function f: A→ B detined by (x)=(二) x-2 x-3 Is f one-one and onto? Justify your answer.
Q12.	Show that the function f: R, R, defined by f(x) = 1 X is one-one and onto, where R, is the set of all non-zero real numbers. Is the result true if thermomain R is replaced by N with the co-domain being the same as R?