maths ONLINE TEST

0%

11th Maths One Mark – Full (Based on Reduced Syllabus)

Wish you all the Best !

-St. Joseph Study Centre

 

1 / 85

If A and B are symmetric matrices of order n, where (A ≠ B), then

2 / 85

The value of 1 – 1/2 (2/3) + 1/3 (2/3)² – 1/4 (2/3)³ + ….. is ?

3 / 85

If 8 and 2 are the roots of x² +ax+c = 0 and 3, 3 are the roots of x² +dx+b = 0, then the roots of the equation x² + ax + b = 0 are?

4 / 85

The number of constant functions from a set containing m elements to a set containing n elements is?

5 / 85

Find a so that the sum and product of the roots of the equation 2x² + (a − 3)x + 3a − 5 = 0 are equal is?

6 / 85

If |x + 2| ≤ 9, then x belongs to?

7 / 85

If A = {(x, y) : y = sinx, x ∈ R} and B = {(x, y) : y = cos x, x ∈ R} then A ∩ B contains?

8 / 85

(1 + cos π / 8) (1 + cos 3π / 8) (1 + cos 5π / 8) (1 + cos 7π / 8) =

9 / 85

Let X = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (2, 1), (3, 1), (1, 4), (4, 1)}. Then R is?

10 / 85

Let f : R → R be defined by f(x) = 1 − |x|. Then the range of f is?

11 / 85

The slope of the line which makes an angle 45⁰ with the line 3x – y = -5 are?

12 / 85

If a vertex of a square is at the origin and its one side lies along the line 4x + 3y – 20 =0, then the area of the square is?

13 / 85

If a and b are the roots of the equation x² − kx + 16 = 0 and satisfy a² + b² = 32, then the value of k is?

14 / 85

If π < 2θ < 3π/2, then √(2√(2 + 2 cos 4θ equals to?

15 / 85

Let R be the universal relation on a set X with more than one element. Then R is?

16 / 85

The maximum value of 4 sin² x + 3cos² x + sin x/2 + cos x/2 is?

17 / 85

If A and B are two matrices such that A + B and AB are both defined, then

18 / 85

The solution set of the following inequality |x − 1| ≥ |x − 3| is ?

19 / 85

The value of log√2 512 is?

20 / 85

If the point(8,-5) lies on the locus x²/16 – y²/25 = k, then the value of k is?

21 / 85

The solution of 5x − 1 < 24 and 5x + 1 > −24 is?

22 / 85

If kx / (x+2) (x-1) = 2/x+2 + 1/ x-1, then the value of k is?

23 / 85

The length of ┴ from the origin to the line x/3 – y/4 = 1 is?

24 / 85

Which of the following is not true ?

25 / 85

Straight line joining the points (2, 3) and (-1, 4) passes through the point (α, β) if

26 / 85

The sum of the digits at the 10th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

27 / 85

The number of relations on a set containing 3 elements is?

28 / 85

The value of the series (1/2) + (7/4) + (13/8) + (19/16) + …. is ?

29 / 85

The value of logₐ b logb c logc a is?

30 / 85

The rule f(x) = x² is a bijection if the domain and the co-domain are given by?

31 / 85

The y-intercept of the straight line passing through (1,3) and perpendicular to 2x – 3y + 1= 0 is?

32 / 85

One of the equation of the lines given by x² + 2xy cot θ – y² = 0 is?

33 / 85

If y = mx + c and f (0) = f ‘(0) =1, then f (2) is

34 / 85

The derivative of f (x) = x | x | at x = −3 is

35 / 85

If log√x 0.25 = 4, then the value of x is?

36 / 85

If tan 40⁰ = λ, then (tan 140⁰ – tan 130⁰ / 1 + tan 140⁰ tan 130⁰) =

37 / 85

If the function f : [−3, 3] → S defined by f(x) = x² is onto, then S is?

38 / 85

The number of students who take both the subjects Mathematics and Chemistry is 70. This represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry. How many students take at least one of these two subjects is

39 / 85

Let R be the set of all real numbers. Consider the following subsets of the plane R × R:
S = {(x, y) : y = x + 1 and 0 < x < 2} and T = {(x, y) : x − y is an integer } Then which of the following is true?

40 / 85

cos 1⁰ + cos2⁰ + cos3⁰ +……..+ cos179⁰ =?

41 / 85

If the lines represented by the equation 6x² + 41xy – 7y² = 0 make angles α and β with x- axis, then tan α tan β =?

42 / 85

The coordinates of the four vertices of a quadrilateral are (-2,4), (-1,2), (1,2) and (2,4)taken in order. The equation of the line passing through the vertex(-1,2) and dividing the quadrilateral in the equal areas is?

43 / 85

The value of (1/2!) + (1/4!) + (1/6!) + ….. Is?

44 / 85

1 / cos 80⁰ – √3/sin 80⁰ = ?

45 / 85

If cos 28⁰ + sin 28⁰ = k³,then cos 17⁰ is equal to?

46 / 85

The sum of an infinite GP is 18. If the first term is 6, the common ratio is?

47 / 85

The function f : [0, 2π] → [−1, 1] defined by f(x) = sinx is?

48 / 85

The value of log₃ 1/81 is?

49 / 85

If f (x) = x + 2, then f ‘(f (x)) at x = 4 is

50 / 85

The range of the function 1 / 1-2 sin x is?

51 / 85

The image of the point(2,3)in the line y = -x is?

52 / 85

Straight line joining the points (2, 3) and (-1 ,4) passes through the point (α, β ) if?

53 / 85

The function f : R → R is defined by f(x) = sinx + cos x is?

54 / 85

The equation of the line with slope 2 and the length of the perpendicular from the origin equal to √5 is?

55 / 85

For non-empty sets A and B, if A ⊂ B then (A × B) ∩ (B × A) is equal to

56 / 85

The area of the triangle formed by the lines x² – 4y² = 0 and x = a is?

57 / 85

The intercepts of the perpendicular bisector of the line segment joining(1,2)and(3,4)with coordinate axes are?

58 / 85

The number of points in R in which the function f (x) =| x −1| + | x − 3| +sin x is not differentiable, is

59 / 85

θ is acute angle between the lines x² – xy – 6y² = 0, then (2 cos θ + 3 sin θ / 4 sin θ + 5 cos θ) is ?

60 / 85

Which of the following equation is the locus of (at²; 2at)?

61 / 85

If a is the arithmetic mean and g is the geometric mean of two numbers, then

62 / 85

The coefficient of x⁵ in the series e⁻²ˣ is?

63 / 85

If a and b are the real roots of the equation x² − kx + c = 0, then the distance between the points (a, 0) and (b, 0) is?

64 / 85

The nᵗᵸ term of the sequence 1/2, 3/4, 7/8, 15/16, ….is?

65 / 85

1 + 3 + 5 + 7 +……. + 17 is equal to

66 / 85

If pv = 81, then dp/dv at v = 9 is

67 / 85

The range of the function f(x) = | [x] − x|, x ∈ R is?

68 / 85

Let A and B be subsets of the universal set N, the set of natural numbers. Then A’ ∪[(A∩B)∪B’] is?

69 / 85

If A = {(x, y) : y = eˣ, x ∈ R} and B = {(x, y) : y = e⁻ˣ, x ∈ R} then n(A ∩ B) is?

70 / 85

Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is?

71 / 85

The equation whose roots are numerically equal but opposite in sign to the roots of 3x² − 5x − 7 = 0 is?

72 / 85

Given that x, y and b are real numbers x < y,b > 0, then?

73 / 85

The number of solutions of x² + |x − 1| = 1 is ?

74 / 85

The sum up to n terms of the series √2 + √8 + √18 + √32 + ….. is?

75 / 85

If |x – 2| / x – 2 ≥ 0, then x belongs to?

76 / 85

The number of five digit telephone numbers having at least one of their digits repeated is

77 / 85

If 3 is the logarithm of 343, then the base is?

78 / 85

The point on the line 2x – 3y = 5 is equidistance from (1,2) and (3, 4) is?

79 / 85

Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 +2√2 is?

80 / 85

If one of the lines given by 6x² – xy + 4cy² = 0 is 3x + 4y = 0;, then c equals to?

81 / 85

The equation of the locus of the point whose distance from y-axis is half the distance from origin is?

82 / 85

If the two straight lines x + (2k – 7)y + 3=0 and 3kx + 9y – 5 = 0 are perpendicular then the value of k is?

83 / 85

The relation R defined on a set A = {0,−1, 1, 2} by xRy if |x² + y² | ≤ 2, then which one of the following is true?

84 / 85

The line (p + 2q)x + (p – 3q)y = p – q for different values of p and q passes through the point?

85 / 85

Which of the following point lie on the locus of 3x² + 3y² – 8x – 12y + 17=0?

Your score is

Note:

Once you start the test, you are not allowed to go back. Results won’t be generated if you quit the test.

Complete the test within the given time. Once the time is over, the test will be submitted automatically.

You can verify your answers at the result page.