RR+PR 1 81-K

4123251 RR+PR-5001 [ Turn over

: 81-K

Code No. : 81-K

Subject : MATHEMATICS ( / Kannada Version )

( / Old Syllabus )

( + / Regular Repeater + Private Repeater )

i)

58

ii)

iii)

iv)

v)

vi) / / /

vii) 15

viii)

ix)

RR + PR

81-K 2 RR+PR

4123251 RR+PR-5001

I.

20 × 1 = 20

1. U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 0, 2, 4, 6, 8 }

B = { 0, 1, 2, 3, 5 } ( A B ) l

(A) ( 0, 1, 2, 3, 4, 5, 6, 8 ) (B) ( 1, 3, 5, 7, 9 )

(C) ( 7, 9 ) (D) ( 1, 3, 4, 5, 6, 7, 8, 9 )

2.

(A) A ( B C ) = A ( B C )

(B) ( A B ) l = A l B l

(C) A B = A B

(D) A ( B C ) = ( B C ) A

3. nT = 4 – 5n 2T

(A) 9 (B) – 6

(C) 14 (D) 4

4. A, G, H a b

( A.M. ), ( G.M. ) ( H.M. )

(A) A, G, H

(B) A, G, H

(C) A, G, H

(D)

5. A =

34

20 B =

24

31 A + B

(A)

10

10 (B)

58

51

(C)

616

61 (D)

10

11

RR+PR 3 81-K

4123251 RR+PR-5001 [ Turn over

6. 3Pn

(A) n ( n – 1 ) (B) n ( n – 2 ) ( n – 3 )

(C) n ( n – 1 ) ( n – 2 ) (D) n ( n – 1 ) ( n – 3 )

7. 10 – 19

(A) 14·5 (B) 15

(C) 15·5 (D) 16

8. A × B = H × L H

(A) A × B – L (B) A × B × L

(C) L

BA (D)

BAL

9. ( a + b ) 2 – ( a – b ) 2

(A) 4ab (B) 2ab

(C) 224 ba (D) 22 ba

10. yx 32 yx 5

(A) yx 2 (B) yx 43

(C) yx 8 (D) yx 27

11. 622 x x

(A) + 4 – 4 (B) + 8 – 8

(C) + 2 – 2 (D) – 1 + 1

12. 02 cbxax

(A) a

acbb

2

42 (B)

a

acbb

2

42

(C) a

acbb

2

42 (D)

a

acbb

2

22

13. 02 2 xx

(A) 2

10 (B) 2 1

(C) – 2

1 0 (D) – 2 – 1

81-K 4 RR+PR

4123251 RR+PR-5001

14. 0152 2 xx ( ) 33

(A) (B)

(C) (D)

15.

(A) (B)

(C) (D)

16. PQR PQR = 90°

(A) 222 QRPRPQ (B) 222 QRPRPQ

(C) 222 PRPQQR (D) 222 PQPRQR

17.

(A) 1 (B) 4

(C) 5 (D) 3

RR+PR 5 81-K

4123251 RR+PR-5001 [ Turn over

18. r

(A) 22 r (B) 2rh

(C) 23 r (D) 3

3

2r

19. 10 28

(A) 440 (B) 220

(C) 660 (D) 880

20.

(A) 4, 4 6 (B) 4, 6, 4

(C) 6, 4 2 (D) 6, 8 12

II. 10 × 1 = 10

21. A B n ( A B ) =

.................... .

22. n nT

a

( c.d. ) ............................... .

23. A =

24

23 A l

= ............................ .

24. X = 25, = 5 .................. .

25. a + b + c = 0 333 cba ...................... .

26. ( 5x – 10 ) ( x – 2 ) .............................. .

27. yx 3 ......................................... .

28. A = 2r r ................................. .

29. m n

........................................ .

81-K 6 RR+PR

4123251 RR+PR-5001

30.

......................... .

III.

31. A = { 5, 7, 9 }, B = { 7, 9, 11 } C = { 9, 11 }

2

32. 7 + 10 + 13 + ........ 50 2

33. 6 3 2

34. A =

43

21 B =

10

01 AB 2

35. 24 12 PP nn n 2

36. )( cba

abc

. 2

37. a + b + c = 2s )(42222 cssabcba 2

38. 23

5

2

39. 0132 2 xx

2

40. ( 0, 2, 4, 6, 8 ) 10 2

41. 3 6

2

42. EB || DC, AB = P – 3, BC = 2P – 2 41

EDAE

P

2

RR+PR 7 81-K

4123251 RR+PR-5001 [ Turn over

43. ABC ||| PQR, ABC 36 PQR

25 QR = 6 ABC QR

2

44. 12 2

45. O A AB

OBA = 45° AB = OA 2

46.

2

[ 40 = 1 ]

C

220

D 120 210

120 B 200

E 180 80

A

47.

212

102

222

2

48. 2

IV.

49. 5 4 (i)

4 (ii)

4 2

3

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4123251 RR+PR-5001

50.

3

1 — 5 6 — 10 11 — 15 16 — 20

2 3 4 1

51. 10132 23 xxx 81023 xxx

3

52. 4 48

3

53.

3

54. 462

3

V.

55. 9 5 3

4

56.

4

57. 31 125.

4

58. 2xy y = 2x + 3 0322 xx

4