02:19

8. If the equation x2 – (2 + m)x + (–m2 – 4m – 4) = 0 has coincident roots, then (a) m = 0, m = 1

01:55

7. If α and β are roots of the quadratic equation x2 – 7x + 10 = 0, find the quadratic equation

04:03

6. The sum of two numbers is 34. If 3 is subtracted from one number and 2 is added to

04:17

5. Find the value of ‘p’ for which the quadratic equation p(x – 4)(x – 2) + (x – 1)2 = 0 has real

03:07

4. If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is 13/21

01:49

3. Find the value of ‘k’ for which the quadratic equation 2kx2 – 40x + 25 = 0 has real and equal roo

03:59

2. Solve the quadratic equation: x2 + 2√2x − 6 = 0 for x.

02:19

1. Solve the quadratic equation: x2 – 2ax + (a2 – b2) = 0 for x.

03:26

10. The figure given alongside shows the path of a diver, when she takes a jump from the diving boa

02:31

9. Case Study-1 : Lusitania Bridge Quadratic polynomial can be used to model the shape of many

02:31

8. If α, β are zeroes of polynomial p(x) = 5x2 + 5x + 1 then find the value of (i) α 2 + β2 (ii)

01:29

7. If α, β re zeros of quadratic polynomial 2x² + 5x + k, find the value of k such that

02:38

6. If α and β are zeroes of the quadratic polynomial 4x2 + 4x + 1, then form a quadratic polynomial

02:40

5. Find the zeroes of p(x) = 4x2 + 24x + 36 quadratic polynomials and verify the relationship

01:41

4. If the product of the zeroes of the polynomial ax2 – 6x – 6 is 4, then find the value of a.

01:35

3. If the sum of the zeroes of the quadratic polynomial ky2 + 2y – 3k is equal to twice their

02:07

2. Find a quadratic polynomial whose zeroes are –9 and -1/9

01:51

1. Find the zeroes of √3x2 + 10x + 7√3

00:59

7. A bar magnet has no markings to indicate its poles. How would you find out near which end its

08:39

57. Integrate x/(a^2 cos^2 x+ b^2 sin^2 x) dx

09:09

56. Integrate x sin (pi x) dx

02:29

55. Integrate sin (2x)cos (2x)/ root (9-cos^4 (2x) dx

08:16

54. Integrate root cot x+ root tanx dx

05:39

53. Integrate log (log x) +1/(log x)^2 dx

07:16

52. Integrate x^4/(x-1)(x^2+1) dx

01:38

51. Integrate (x^4-x)^1/4/x^5 dx

01:08

50. Integrate cos 6x root (1+sin 6x) dx

04:53

49. Integrate log sin x dx

04:18

48. Integrate 1/(1+ root tanx) dx

02:49

47. Integration sin^4 x/ (sin^4 x+ cos^4 x) dx

01:38

46. Integration sin^5 x cos^4 x dx

05:34

45. Integrate x sin x / (1+cos^2 x) dx

02:42

44. Integrate sin^2 x dx

05:38

43. Integrate |x^3-x| dx

02:02

42. Integrate tan^-1 x/ root (1+x^2) dx

02:41

41. Integrate 5x^4 root (x^5+1) dx

02:20

40. Integrate sin^2 (2t) cos (2t) dt

04:14

39. Integrate x/(x+1)(x+2) dx

05:09

38. Integrate root x / (30-x^3/2)^2 dx

01:06

37. Integrate x^2 dx

02:25

36. Integrate root (3-2x-x^2) dx

03:06

35. Integrate root(x^2+2x+5) dx

02:30

34. Integrate (x^2+1) e^x/(x+1)^2 dx

01:17

33. Integrate e^x(tan^-1 x +1/(1+x^2)) dx

04:21

32. Integrate e^x. sin x dx

03:44

31. Integrate x.sin-1x/ root (1-x^2)

01:43

30. Integrate x.e^x dx

02:38

29. Integrate log x dx

05:48

28. Integrate x^2+x+1/(x+2)(x^2+1) dx

05:12

27. Integrate (3 sin phi-2)cos phi dphi/5- cos^2phi-4 sin phi

03:05

26. integrate x^2/(x^2+1)(x^2+4) dx

07:10

25. Integrate 3x-2/(x+1)^2(x+3) dx

05:22

24. Integrate x^2+1/(x^2-5x+6) dx

03:36

23. Integrate 1/(x+1)(x+2) dx

04:48

22. Integrate x+3/root 5-4x-x^2

06:20

21. Integrate x+2/ 2x^2+6x+5

03:04

20.Integrate 1/root 5x^2-2x

03:35

19. Integrate 1/3x^2+13x-10 dx

02:07

18. Integrate 1/(x^2-6x+13) dx

01:49

17. Integrate sin^3 x dx