Karnataka I PUC Mathematics Model Question Paper 2021-22

Name of the Organisation : Department of Post University Education, Karnataka
Exam : I PUC Mathematics Exam
Subject : Mathematics
Document Type : Model Question Paper
Website : https://pue.karnataka.gov.in

Karnataka I PUC Mathematics Model Question Paper

Department of Post University Education, Karnataka Mathematics Model Question Paper I PUC for the year 2021-22.

Related / Similar Question Paper : Karnataka I PUC Biology Model Question Paper 2021-22

Karnataka I PUC Mathematics Model Questions

PART – A
Answer any TEN questions
1. Write the solution set of the equation 𝐀2 + 𝐀 − 2 = 0 in roaster form.
2. If the set A has 3 elements and the set B = {3, 4, 5} , then find the number of elements in AB.
3. Express the angle 7𝐀
6 in degree measure.
4. If 4𝐀 + 𝐀 3𝐀 − 𝐀 = 3 + 𝐀( − 6), where x and y are real numbers, then find the values of x
5. Solve 24x < 100, when x is a natural numbers.
6. Evaluate 7!
7. Find the fourth term in the expansion of 𝐀 − 2𝐀 12.
8.If the nth term of a sequence is an = 4n – 3 ; find a17 .
9. Find the slope of the line passing through the points (3,-2) and (-1,4).
10. Find the coordinates of the focus of the parabola y2 = 12x.
11.If a point is in the XZ-plane, what is its y-coordinate?
12.Evaluate 𝐀𝐀𝐀
𝐀 → 4
4𝐀+3
𝐀−2
13.Write the negation of the statement “ Both the diagonals of a rectangle have the same length”
14.Find the mean of first n natural numbers.
15.Define the sample space of a random experiment.

PART- B
Answer any TEN questions
16. Write down all the subsets of the set A = {1, 2, 3}.
17.If A = {1, 2, 3, 4, 5, 6} , B = {2, 4, 6, 8} , find AB and B  A.
18.If A = {1, 1}, find AAA.
19. Let A = {1, 2} and B = {3, 4}, Find the number of relations from A to B.
20. In a circle of diameter 40cm, the length of a chord is 20cm. Find the length of minor arc of the chord.
21.Find the value of sin75.
22. Find the value of cos(1710).
23. Express ( − 5𝐀). 18 𝐀 in the form a+ ib.
24. Solve 7𝐀 + 3 < 5𝐀 + 9 . Show the graph of the solutions on number line.
25.How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5,6 if the digits can be repeated?
26.If the equation of a line is 3x – 4y + 10 = 0, find its slope and y-intercept.
27. Find the distance between the parallel lines 3x-4y+7=0 and 3x-4y+5=0
28.Find the distance between the points (2,3,5) and (4,3,1).
29.Evaluate 𝐀𝐀𝐀
𝐀 → 0
𝐀+1 5−1
𝐀
30.Find the derivative of sinx . cosx with respect to x.
31.Write the components of the statement “ Two lines intersect at a point or they are parallel”
32.The coefficient of variation of a distribution is 70 and standard deviation is 16. Find the arithmetic mean.
33.Given P(A) = 35 and P(B) = 15. Find P(A or B), if A and B are mutually exclusive events.

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