328 IX-C LASS MATHEMATICS Answers

FREE D ISTRIBUTION BY A P G OVERNMENT 328 IX-C LASS MATHEMATICS EEEXERCISE 1 1 1 a -5, 22 7, 2013 2014 b A number which can be written in the form p q where q 0; p, q are integers, called

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IX-CLASS MATHEMATICS328

EE EEEXERCISEXERCISEXERCISEXERCISEXERCISE 1.1 1.1 1.1 1.1 1.11. a. -5, 22

7, 2013

2014-b. A number which can be written in the form p

q where q - 0; p, q are integers, called a rational number.

2. (i)3

7(ii) 0 (iii)-5

(iv) 7 (v)-3

3.3 5 9 17 33

, , , , 2 4 8 16 324.19 13 79 , , 30 20 1205.

6. I. (i) 0.242 (ii) 0.708 (iii) 0.4 (iv) 28.75

II.(i)0.6(ii)0.694-(iii)3.142857(iv)1.2

7. (i)9

25(ii)77

5(iii)41

4(iv)13

48. (i)5

9(ii)35

9(iii)12

33(iv)563

1809. (i) Yes (ii) No (iii) Yes (iv) NoEE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 1.2 - 1.2 - 1.2 - 1.2 - 1.21. (i) Irrational (ii) Rational (iii) Irrational

(iv) Rational (v) Rational (vi) IrrationalAnswers0 1 2-1-2 8 58
5-

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2. Rational numbers : -1, 13

7, 1.25, 21.8, 0

Irrational numbers : 2, 7, p, 2.131415....., 1.1010010001.....

3. Infinite, 5

34. 0.71727374....., 0.761661666..... 5.5 2.236=6. 2.645751..... 8.6, 2 6

9. (i) True (ii) True (iii) False 3(iv) False 6

(v) True 8(vi) False 3 7EE EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 1.4 - 1.4 - 1.4 - 1.4 - 1.41. (i) 10 + 55 + 27 + 35(ii) 20 (iii) 10 + 221(iv) 4

2. (i) Irrational (ii) Irrational (iii) Irrational (iv) Rational

(v) Irrational (vi) Irrational (vii) Rational

3. (i) Irrational (ii) Rational (iii) Irrational (iv) Irrational

(v) Irrational (vi) Rational

4. Because either c or d is irrational number.

5. (i)3 2

7-(ii)7 6+(iii)7

7(iv)3 2 2 3+6. (i)1 12 2-(ii)1 35-7. 0.55725

8. (i) 2 (ii) 2 (iii) 5 (iv) 64

(v) 9 (vi)1 69.-8

10. (i) a = 5, b = 2 (ii) a = 19

7-, b =5

7EE EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 2.1 - 2.1 - 2.1 - 2.1 - 2.11. (i) 5 (ii) 2 (iii) 0 (iv) 6 (v) 2 (vi) 1

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2. (i) Polynomial (ii) Polynomial (iii) No because it has two variables

(iv) Not polynomial because exponent is negative. (v) Not polynomial because exponent of x is not a non negative integers. (vi) Not polynomial in one variable because it has two variables.

3. (i) 1 (ii)-1 (iii)2(iv) 0

(v)2p(vi)-1 (vii) 0 (viii) 0

4. (i) Quadratic (ii) Cubic (iii) Quadratic (iv) Linear

(v) Linear (vi) Quadratic

5. (i) True (ii) False (iii) False (iv) False

(v) True (vi) TrueEE EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 2.2 - 2.2 - 2.2 - 2.2 - 2.21. (i) 3 (ii) 12 (iii) 9 (iv)3

22. (i) 1, 1, 3 (ii) 2, 4, 4 (iii) 0, 1, 8 (iv) -1, 0, 3

(v) 2, 0, 0

3. (i) No (ii) No (iii) Yes (iv) Yes

(v) Yes (vi) Yes (vii) Yes, No (viii) No, Yes

4. (i) -2 (ii) 2 (iii)3

2-(iv)3

2(iv) 0 (vi) 0 (vii)q

5.a = 2

7-6.a = 1, b = 0EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 2.3 - 2.3 - 2.3 - 2.3 - 2.31. (i) 0 (ii)27

8(iii) 1

(iv) -p3+3p2-3p+1 (v)27

8-2. 5a3. Not a factor 4. -3 5.13

3-6.13

3-7. 8 8.21

89.a = 7, b = 12

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EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 2.4 - 2.4 - 2.4 - 2.4 - 2.41. (i) Yes (ii) No (iii) No (iv) Yes

2. (i) Yes (ii) No (iii) Yes (iv) Yes

(v) Yes

7. (i) (x - 1) (x + 1) (x - 2) (ii) (x + 1)2 (x - 5)

(iii) (x + 1) (x + 2) (x + 10) (iv) (y + 1) (y + 1) (y - 1)

9. a = 3 10. (y - 2) (y + 3)EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 2.5 - 2.5 - 2.5 - 2.5 - 2.51. (i)x2 + 7x + 10 (ii)x2 - 10x + 25

(iii) 9x2 - 4 (iv)x4 - 4

1x(v) 1 + 2x + x2

2. (i) 9999 (ii) 998001 (iii)9999 3

24994 4=(iv) 251001 (v) 899.75

3. (i) (4x + 3y)2(ii) (2y - 1)2(iii)2 2

5 5y yx xÄ ÔÄ Ô+ -Å ÕÅ ÕAE ÖAE Ö(iv) 2 (3a + 5) (3a - 5) (v) (x + 3) (x + 2)

(vi) 3 (P - 6) (P - 2)

4. (i)x2 + 4y2 + 16z2 + 4xy + 16yz + 8xz

(ii) 8a3 - 36a2b + 54ab2 - 27b3 (iii) 4a2 + 25b2 + 9c2 - 20ab - 30bc + 12ac (iv)2 2

1 16 4 4 2a b ab ab+ + - - +(v)p3 + 3p2 + 3p + 1 (vi)x3 - 2x2y + 4

3xy 2 - 8 27y
3

5. (i) (-5x + 4y + 2z)2(ii) (3a + 2b - 4c)2

6. 29

7. (i) 970299 (ii) 1,0,61,208 (iii) 99,40,11992 (iv) 100,30,03,001

8. (i) (2a + b)3(ii) (2a - b)3(iii) (1 - 4a)3(iv)3

125pÄ Ô+Å ÕAE Ö10. (i) (3a + 4b) (9a2 - 12ab + 16b2) (ii) (7y - 10) (49y2 + 70y + 100)

11. (3x + y + z) (9x2 + y2 + z2 - 3xy - yz - 3xz)

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14. (i) -630 (ii) 16380 (iii)5

12-(iv)-0.018

15. (i) (2a + 3) (2a - 1) (ii) (5a - 3) (5a - 4)

16. (i) 3x (x - 2) (x + 2) (ii) 4 (3y + 5) (y - 1)EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 3.1 - 3.1 - 3.1 - 3.1 - 3.11. (i) 3 (ii) 13 (iii) Surface (iv) 180°

(v) Defined

2. a) False b) True c) True d) True

e) True

9.®1 + ®2 = 180°EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 4.1 - 4.1 - 4.1 - 4.1 - 4.12. (i) Reflex angle (ii) Right angle (iii) Acute angle

3. (i) False (ii) True (iii) False (iv) False

(v) True (vi) True (vii) False (viii) True

4. (i) Right angle (ii) Straight angle (iii) Obtuse angleEE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 4.2 - 4.2 - 4.2 - 4.2 - 4.21.x = 36°y = 54°z = 90°

2. (i)x = 23° (ii)x = 59° (iii)x = 20° (iv)x = 8°

3.®BOE = 30°; Reflex angle of ®COE = 250°

4.®C = 126°

8.®XYQ = 122°®QYP = 302°EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 4.3 - 4.3 - 4.3 - 4.3 - 4.32.x = 126°

3.®AGE = 126°®GEF = 360°®FGE = 54°

4.®QRS = 60° 5.®ACB = ®z = ®x + ®y

6. a = 40° ;b = 100°

7. (i)®3, ®5, ®7, ®9, ®11, ®13, ®15

(ii)®4, ®6, ®8, ®10, ®12, ®14, ®16

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8.x = 60°y = 59°

9.x = 40°y = 40°

10.x = 60°y = 28°

11.x = 68°y = 11°

13.x = 50°y = 77°

15. (i)x = 36°;y = 180° (ii)x = 35° (iii)x = 29°

16.®1 = ®3 = ®5 = ®7 = 80° ;®2 = ®4 = ®6 = ®8 = 100°

17.x = 20°y = 60°z = 120°

18.x = 55°y = 35°z = 105°

19. (i)x = 140° (ii)x = 100° (iii)x = 250°EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 4.4 - 4.4 - 4.4 - 4.4 - 4.41. (i)x = 110° (ii)z = 130° (iii) y = 80°

2.®1 = 60° 3.x = 35°, y = 51° 5. x = 40°y = 10°

6.x = 70°y = 40° 7.x = 30°y = 75°

8.®PRQ = 65° 9.®OZY = 32° ;®YOZ = 121°

10.®DCE = 92° 11.®SQT = 60° 12.z = 60°

13.x = 37°y = 53° 14.®A = 50° ;®B = 75°

15. (i) 78° (ii)®ADE = 67° (iii) ®CED = 78°

16. (i)®ABC = 72° (ii)®ACB = 72°

(iii)®DAB = 27° (iv)®EAC = 32°

17.x = 96° y = 120°EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 5.1 - 5.1 - 5.1 - 5.1 - 5.11. (i) Water Tank (ii) Mr. 'J" house

(iii) In street-2, last house on right side while going in east directioni. (iv) In street 4, first building on right side while going in east direction. (v) In street 4, the last building on left side while going in east directionEE EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 5.2 - 5.2 - 5.2 - 5.2 - 5.21. (i) Q

2(ii) Q4(iii) Q1(iv) Q3

(v) Y-axis (vi) X-axis (vii) X-axis (viii) Y-axis

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IX-CLASS MATHEMATICS334

2. (i) abscissa : 4 (ii) abscissa : -5 (iii) abscissa : 0(iv) abscissa : 5

ordinate : -8 ordinate : 3 ordinate : 0 ordinate : 0 (v) abscissa : 0 ordinate : -8

3. (ii) (0, 13) : Y-axis (iv) (-2, 0) : X-axis

(v) (0, -8) : Y-axis (vi) (7, 0) : X-axis (vii) (0, 0) : on both the axis.

4. (i) -7 (ii) 7 (iii) P (iv) Q

(v) 4 (vi) -3

5. (i) False (ii) True (iii) True (iv) False

(v) False (vi) TrueEE EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 5.3 - 5.3 - 5.3 - 5.3 - 5.32. No. (5, -8) lies in Q

4 and (-8, 5) lies in Q2

3. All given points lie on a line parallel to Y-axis at a distance of 1 unit.

4. All points lie on a line parallel to X-axis at a distance of 4 units.EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 6.1 - 6.1 - 6.1 - 6.1 - 6.11. (i)a = 8b = 5c = -3 (ii)a = 28b = -35c = 7 (iii)a = 93b = 15c = -12 (iv)a = 2b = 5c = 0 (v)a = 1

3b = 1

4c = -7

(vi)a = 3

2b = 1c = 0

(vii)a = 3b = 5c = 7.2-2. (i)a = 2b = 0c = -5 (ii)a = 0b = 1c = -2 (iii)a = 0b = 1

7c = -3

(iv)a = 1b = 0c = 14

133. (i) x + y = 34 (ii) 2x - y + 10 = 0

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(iii)x - 2y - 10 = 0 (iv) 2x + 15y - 100 = 0 (v)x + y - 200 = 0 (vi)x + y - 11 = 0EE EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 6.2 - 6.2 - 6.2 - 6.2 - 6.22. (i) (0, -34); (17

4, 0) (ii) (0, 3) ; (-7, 0)

(iii) (0, 3

2) ; (3

5-, 0)

3. (i) Not a solution (ii) Solution (iii) Solution

(iv) Not a solution (v) Not a solution

4. K = 7 5.a = 8

56. 3
EE EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 6.3 - 6.3 - 6.3 - 6.3 - 6.32. (i) Yes (ii) Yes 3. 3

4. (i) 6 (ii) -5

5. (i) (3

2, 3) (ii) (-3, 6)

6. (i) (2, 0) : (0, -4) (ii) (-8, 0) ; (0, 2)

(iii) (-2, 0) ; (0, -3)

7.x + y = 1000 8.x + y = 5000 9.f = 6a10. 39.2

11. 5x = 3y ; 2000 ; 480 (No. of voters who cast their vote = x, Total no. of voters = y)

12.x - y = 25; 50; 15 (Father age = x, Rupa"s age = y)

13.y = 8x + 7 14.x + 4y = 27; 5, 11

15.y = 10x + 30; 60; 90; 5 hr. (No. of hours = x ; Parking charges = y)

16. d = 60 t (d = distance, t = time); 90 km.; 120 km.; 210 km.

17.y = 8x ;3

2 or 11

2; 12

18.y = 5

7x(Quantity of mixture = x; Quantity of milk = y) ; 20

19. (ii) 86° F (iii) 35° C (iv) -40

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EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 6.4 - 6.4 - 6.4 - 6.4 - 6.44. (i)y = -3 (ii)y = 4 (iii)y = -5 (iv)y = 4

5. (i)x = -4 (ii)x = 2 (iii)x = 3 (iv)x = -4EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 7.4 - 7.4 - 7.4 - 7.4 - 7.46. 7 7. No. EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 8.1 - 8.1 - 8.1 - 8.1 - 8.11. (i) True (ii) True (iii) False (iv) True

(v) False (vi) False

2. (a) Yes, No, No, No, No (b) No, Yes, Yes, Yes, Yes

(c) No, Yes, Yes, Yes, Yes (d) No, Yes, Yes, Yes, Yes (e) No, Yes, Yes, Yes, Yes (f) No, Yes, Yes, Yes, Yes (g) No, No, No, Yes, Yes (h) No, No, Yes, No, Yes (i) No, No, No, Yes, Yes (j) No, No, Yes, No, Yes.

4. Four angles = 36°, 72°, 108°, 144°EE

EEEXERCISEXERCISEXERCISEXERCISEXERCISE - 8.3 - 8.3 - 8.3 - 8.3 - 8.31. Angles of parallelogram = 73°, 107°, 73°, 107°

quotesdbs_dbs11.pdfusesText_17

[PDF] 328 IX-C LASS MATHEMATICS Answers

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IX-CLASS MATHEMATICS328

7, 2013

2014-b. A number which can be written in the form p

2. (i)3

7(ii) 0 (iii)-5

3.3 5 9 17 33

6. I. (i) 0.242 (ii) 0.708 (iii) 0.4 (iv) 28.75

II.(i)0.6(ii)0.694-(iii)3.142857(iv)1.2

7. (i)9

25(ii)77

5(iii)41

4(iv)13

48. (i)5

9(ii)35

9(iii)12

33(iv)563

1809. (i) Yes (ii) No (iii) Yes (iv) NoEE

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2. Rational numbers : -1, 13

7, 1.25, 21.8, 0

3. Infinite, 5

34. 0.71727374....., 0.761661666..... 5.5 2.236=6. 2.645751..... 8.6, 2 6

9. (i) True (ii) True (iii) False 3(iv) False 6

2. (i) Irrational (ii) Irrational (iii) Irrational (iv) Rational

3. (i) Irrational (ii) Rational (iii) Irrational (iv) Irrational

4. Because either c or d is irrational number.

5. (i)3 2

7-(ii)7 6+(iii)7

7(iv)3 2 2 3+6. (i)1 12 2-(ii)1 35-7. 0.55725

8. (i) 2 (ii) 2 (iii) 5 (iv) 64

10. (i) a = 5, b = 2 (ii) a = 19

7-, b =5

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2. (i) Polynomial (ii) Polynomial (iii) No because it has two variables

3. (i) 1 (ii)-1 (iii)2(iv) 0

4. (i) Quadratic (ii) Cubic (iii) Quadratic (iv) Linear

5. (i) True (ii) False (iii) False (iv) False

22. (i) 1, 1, 3 (ii) 2, 4, 4 (iii) 0, 1, 8 (iv) -1, 0, 3

3. (i) No (ii) No (iii) Yes (iv) Yes

4. (i) -2 (ii) 2 (iii)3

2-(iv)3

2(iv) 0 (vi) 0 (vii)q

5.a = 2

7-6.a = 1, b = 0EE

8(iii) 1

8-2. 5a3. Not a factor 4. -3 5.13

3-6.13

3-7. 8 8.21

89.a = 7, b = 12

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2. (i) Yes (ii) No (iii) Yes (iv) Yes

7. (i) (x - 1) (x + 1) (x - 2) (ii) (x + 1)2 (x - 5)

9. a = 3 10. (y - 2) (y + 3)EE

1x(v) 1 + 2x + x2

2. (i) 9999 (ii) 998001 (iii)9999 3

24994 4=(iv) 251001 (v) 899.75

3. (i) (4x + 3y)2(ii) (2y - 1)2(iii)2 2

5 5y yx xÄ ÔÄ Ô+ -Å ÕÅ ÕAE ÖAE Ö(iv) 2 (3a + 5) (3a - 5) (v) (x + 3) (x + 2)

4. (i)x2 + 4y2 + 16z2 + 4xy + 16yz + 8xz

1 16 4 4 2a b ab ab+ + - - +(v)p3 + 3p2 + 3p + 1 (vi)x3 - 2x2y + 4

5. (i) (-5x + 4y + 2z)2(ii) (3a + 2b - 4c)2

7. (i) 970299 (ii) 1,0,61,208 (iii) 99,40,11992 (iv) 100,30,03,001

8. (i) (2a + b)3(ii) (2a - b)3(iii) (1 - 4a)3(iv)3

125pÄ Ô+Å ÕAE Ö10. (i) (3a + 4b) (9a2 - 12ab + 16b2) (ii) (7y - 10) (49y2 + 70y + 100)

11. (3x + y + z) (9x2 + y2 + z2 - 3xy - yz - 3xz)

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14. (i) -630 (ii) 16380 (iii)5

12-(iv)-0.018

15. (i) (2a + 3) (2a - 1) (ii) (5a - 3) (5a - 4)

16. (i) 3x (x - 2) (x + 2) (ii) 4 (3y + 5) (y - 1)EE

2. a) False b) True c) True d) True

9.®1 + ®2 = 180°EE

3. (i) False (ii) True (iii) False (iv) False

4. (i) Right angle (ii) Straight angle (iii) Obtuse angleEE

2. (i)x = 23° (ii)x = 59° (iii)x = 20° (iv)x = 8°

3.®BOE = 30°; Reflex angle of ®COE = 250°