University Karnataka Department of Pre University Education Course & Year I PUC Subject Basic Mathematics Download Model Question Paper Year 2023-24 Document Type PDF Official Website https://pue.karnataka.gov.in/english

## PUE PUC I Basic Mathematics Model Question Paper 2024

Download Karnataka Department of Pre University Education (PUE) 2024 First Year PUC Basic Mathematics Examination Model Question Paper.

Download PUE Karnataka I PUC 2024 Model Question Papers Here [All Subjects]

 Course & Subject Model Question Paper I PUC Basic MathematicsΒ Download Here

## PUE Karnataka PUC I Basic Mathematics Model Questions

I. Choose the correct answer (Each question carries 1 mark):
1. The imaginary part of 4-7i. is
a)- 7
b) -4
c) 4
d) 7

2. If A={1,2} and B={2,3,4} then BXA.is
a) {(1, 2), (1, 3), (1, 4), (2, 2), (2, 3), (2, 4)}
b){(1, 2), (1, 3), (1, 4), (2, 2), (2, 4)}
c) {(1, 2), (1, 3), (1, 5), (2, 2), (2, 3), (2, 4)
d) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4)}

3. The value of (π₯1/2 + π¦1/2) (π₯1/2 β π¦1/2) is
a)x-2y
b)x-y
c) y-x
d)y-2x

4. A publishing house finds that the production cost directly attributed to each book is Rs.30 and the Fixed cost is Rs.15,000. Then cost function is.
a) C(x)=30x +15000
b) C(x)=30+15000x
c) C(x)=30x -15000
d) 30-15000x

5. The slope of the line 7x-3y is
a)7/3
b) β7/3
c) β3/7
d) 3/7

II. Match the following
6. (i) If f(x) = 2x+3 then the value of f (-1) a) 75000
(ii) The value of log β9/4βlog 3/2 b)-85
(iii) The 30th term of the A.P. -2, -5, -8, – – c)0
(iv) The simple interest on `600 for 3 years d)1 at 4% p.a. simple interest
(v) The present value of a perpetuity of e)72 Rs. 3000to be received forever at 4% p.a. f)750

III For question numbers 7 to 11 choose the appropriate answer from the answers given
In backets ( 8, x> π, 3:10,πππ/πππ x=2,x< π) 5 X 1 = 5
7. The value of x, if (2x+4,0)=(8,0) is ____________
8. The sum of the G.P. 1, 1/4,1/16β¦β¦. to 5 elements is is ____________
9. The value of Inequality in one variable 5x β 3 < 3 x + 1 (xπR) is ____________
10. Conversion of the 30% (percentage) to ratios. is ____________
11. The angle 7π/3 radians in degrees is ___________

12. Find the equation of the locus of the point equidistant from (0, 0) and (1,0)
13. Insert a H.M between.1/5 πππ 1/7
14. Solve:2 (7 + x) β 10 = 16 β 2 x β 24
15. In a class of 10 students, the marks obtained in Mathematics, are 88, 71, 35, 30, 46, 92, 67, 53, 76 and 28. What is the average marks?
16. Find the value of cos A. tan A.

Part-B:
V Answer any SIX of the following questions:
17. Find the number of positive divisors of the number 672
18. Find the value of fog(2), if f(x)=x and g(x)=x3+1
19. If A = {2, 3}, B = {3, 4} Find the number of relations that can be defined from A to B.
20. . The fifth term exceeds the third term by 10 and the sixth term is 35. Find the A.P.
21. If πΌ and π½ are roots of the equation 3×2 -6x +4 =0 , find the value of (πΌ + π½)πΌ π½.
22. Solve 3x-2< 2x+1,xππ Also represent the solution on the number line.
23. When Geetha retired at 58, she deposited `1,00,000 in the bank which pays 18% p. a. Compound interest. How much amount will she receive when she is 70?
24. The angles of a triangle are in the ratio 3:4:5. Find them in radians.
25. sec 2 A + cosec 2 A = sec 2 A . cosec 2 A
26. Find the locus of a point which moves so that its distances from the point A(3,1) and B(1, 3) are in the ratio 2:3
27. Find the equation of the line Passing through (3, 5) and making an angle 450 with the positive direction of x axis.

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