1 A 1 B 2 A 2 B 2 C 2 D 3 4 A 4 B 4 C 4 D 5 6 A 6 B 6 C 6 D 7 A1 7 A2 7 A3 7 A4 7 B 8 9 10 A1 10 A2 10 A3 10 A4 10 A5 10 B 10 C 11 A 11 B 11 C 11 D 11 E

West Bengal Board - Mathematics

9. Quadratic Surd

1. Quadratic Equations in One Variable
2. Simple Interest
3. Theorems Related to Circle
4. Rectangular Parallelopiped or Cuboid
5. Ratio and Proportion
6. Compound Interest and Uniform Rate of Increase or Decrease
7. Theorems Related to Angles in a Circle
8. Right Circular Cylinder
9. Quadratic Surd
10. Theorems Related to Cyclic Quadrilateral
11. Construction: Construction of Circumcircle and Incircle of a Triangle
12. Sphere
13. Variation
14. Partnership Business
15. Theorems Related to Tangent to a Circle
16. Right Circular Cone
17. Construction: Construction of Tangent to a Circle
18. Similarity
19. Real Life Problems Related to Different Solid Objects
20. Trigonometry: Concept of Measurement of Angle
21. Construction: Determination of Mean Proportional
22. Pythagoras Theorem
23. Trigonometric Ratios and Trigonometric Identities
24. Trigonometric Ratios of Complementary Angle
25. Application of Trigonometric Ratios: Heights and Distances
26. Statistics: Mean, Median, Ogive, Mode

Let us Work Out 9.1

1 A 1 B 1 C 1 D 1 E 2 3 4 5 6 A 6 B 6 C 6 D 6 E 6 F

Let us Work Out 9.2

1 A 1 B 1 C 1 D 1 E 2 A 2 B 2 C 2 D 2 E 2 F 2 G 3 A 3 B 3 C 3 D 3 E 3 F 4 5 6 A 6 B 6 C 6 D 6 E 6 F 7 A 7 B 7 C 8 A 8 B

Let us Work Out 9.3

1 A 1 B 2 A 2 B 2 C 2 D 3 4 A 4 B 4 C 4 D 5 6 A 6 B 6 C 6 D 7 A1 7 A2 7 A3 7 A4 7 B 8 9 10 A1 10 A2 10 A3 10 A4 10 A5 10 B 10 C 11 A 11 B 11 C 11 D 11 E

Q. 6 D

If <span lang="EN

Class 10th West Bengal Board - Mathematics 9. Quadratic Surd

Answer :

a + b =

a + b = = = = 3

a-b =

a-b = = = = √5

ab = = 1

(a + b)³ = a³ + b³ + 3ab(a + b)

a³ + b³ = (a + b)³ - 3ab(a + b)

= (3)³ – 3 × 1 × 3

= 27 – 9 = 18

(a-b)³ = a³-b³-3ab(a-b)

a³-b³ = (a-b)³ + 3ab(a-b)

= (√5)³ + 3 × 1 × (√5)

= 5√5 + 3√5

= √5 [5 + 3]

= 8√5

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