Class 11 Maths Online Test

1. Find the sum of series 6²+7²+…………………..+15².

2. If set A = {1,2,3,4} and B = {3,4,5,6}. Find B-A.

3. Which of the following is an empty set?

4. Angle made by line with ____________ measured anticlockwise is called inclination of the line.

5. Find the sum 1²+2²+3²+……………+10².

6. What is the even value of n, if the middle term of (a + b)^{2n – 3} is 11?

7. If A= {1,2,3} and B= {x∈R: x³-6x²+11x-6=0} then A and B are equal sets?

8. For principle of mathematical induction to be true, what type of number should ‘n’ be?

9. If ⁿP₃ = 4*ⁿP₂. Find n.

10. If in an A.P., first term is 20, common difference is 2 and n^th term is 42, then find sum up to n terms.

11. Let S denotes the set of all real values of the parameter ‘a’ for which every solution of the inequality log_1/2 x² ≥ log_1/2 (x + 2) is the solution of the inequality 49x² – 4a⁴ ≤ 0. What is the value of S?

12. The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) internally in the ratio 2:1 is ____________________

13. 1/z is _________________ for complex number z.

14. Probability of getting head on an unbiased coin is ________

15. Which of the following is true?

16. Which of the following statement is true?

17. What will be the domain of the function, if 3^x + 3^f(x) = minimum of Φ(t), where Φ(t) = minimum of (2t³ – 15t² + 36t - 25, 2 + |sint|; 2 ≤ t ≤ 4} ?

18. A set can be a collection but a collection cannot be a set.

19. Find slope of line passing through origin and (3, 6).

20. A sequence is called ___________________ if a_n+1 = a_n * r.

21. What will be the form of the equation after eliminating a and b from the equation y = a sin^-1x + b cos^-1x?

22. If there are 4 paths to travel from Delhi to Kanpur, then in how many ways a person can travel from Delhi to Kanpur and came back to Delhi via same path?

23. The point (4, 0, 0) lie on _____________

24. Find the principal solutions of the equation cos x = 1/2.

25. Find the distance of point (2, 3, 5) from X-Z plane.

26. Which of the following set is finite?

27. Find the equation of circle which pass through (5, 9) and center at (2, 5).

28. sec(-45°) =_____________

29. Is i(iota) a root of 1+x²=0?

30. What will be the value of dy/dx if x = asec²θ and y = atan³θ at θ = π/4?

31. Which of the following cannot be the negation of the statement “Delhi is in India”?

32. If sin x= 1/2, then sin 3x =_______________

33. What is equation of latus rectums of ellipse \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1?

34. If x is a natural number and 20x≤100 then find solution set of x.

35. Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the range.

36. \(\sum_{i=1}^4\) 2n+3 = _____________________

37. A rectangle is a quadrilateral and its four sides are equal. Which is not correct?

38. If A={a, e, i, o, u} and B={a, e, u} then A∪B = __________

39. Which of the following is correct?

40. If we start to rotate and after completing one revolution again initial side overlap with terminal side, then the angle formed is _________

41. sin (-45°) = ______________

42. If r=1 in a G.P. then what is the sum to n terms?

43. If p then q means ___________ only if ___________

44. If the standard deviation of the numbers 2, 4, 5 & 6 is a constant a, then find the standard deviation of the numbers 4, 6, 7 & 8.

45. Find the principal solutions of the equation sec x = -2.

46. Event “A and B” is represented by _____________

47. Which of the following is universal set for {a, p}?

48. Which of the following is set B?

49. Equation of parabola which is symmetric about y-axis with vertex (0, 0) and pass through (6, 3).

50. Find all pairs of consecutive odd positive integers both of which are smaller than 8 such that their sum is more than 10.