MATHEMATICS QUIZ 1

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Results

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#1. Additive inverse of complex number (a+bi) is:

-a-bi

a-bi

-a+bi

1/(a+bi)

#2. If |A|=5 for a 2×2 matrix A, then |2A| is:

#3. The transpose of a diagonal matrix is a:

Scalar matrix

Diagonal matrix

Null matrix

Row matrix

#4. Which of the following is an irrational number?

3/4

0.5

#5. If f:A->B and range of f=B then f is called:

Into function

Onto function (Surjective)

One-one function

Inverse function

#6. The degree of polynomial equation 3x^4 – 2x^2 + 7 = 0 is:

#7. If synthetic division is performed, the remainder obtained when P(x) is divided by (x-a) is:

P(a)

P(-a)

P(0)

#8. If roots of quadratic equation are equal, the value of b^2 – 4ac is:

Positive

Negative

Zero

Imaginary

#9. Harmonic Mean between 2 and 4 is:

8/3

16/3

2.5

#10. The sum of n terms of an A.P. is given by:

(n/2)[2a+(n-1)d]

n(a+d)

a(1-r^n)/(1-r)

n(n+1)/2

#11. If a, b, c are in G.P., then:

b^2=ac

2b=a+c

b=a+c

b=ac

#12. If a, b, c are in A.P., then:

2b=a+c

b^2=ac

b=ac

a+b+c=0

#13. The value of 7C0 is:

#14. Number of diagonals in a polygon of n sides is:

n(n-3)/2

n(n-1)/2

n(n-2)

n!/2

#15. Probability of impossible event is:

0.5

-1

#16. Probability of a sure event is:

100

Infinite

#17. Value of sin(180°):

-1

Undefined

#18. Value of cos(180°):

-1

1/2

#19. Value of tan(90°):

Undefined (∞)

-1

#20. 1 radian is equal to approximately:

57.3°

180°

90°

360°

#21. To convert degree into radian, we multiply by:

π/180

180/π

360

#22. Angle subtended at the center of circle of radius r by arc length l is θ =

l/r

r/l

1/l

#23. cos(-θ) =

cos(θ)

-cos(θ)

sin(θ)

-sin(θ)

#24. sin(-θ) =

-sin(θ)

sin(θ)

cos(θ)

-cos(θ)

#25. In triangle ABC, sum of internal angles (A+B+C) is:

90°

180°

270°

360°

#26. Derivative of cosec(x) is:

-cosec(x)cot(x)

cosec(x)cot(x)

-sec^2(x)

cot^2(x)

#27. Derivative of cot(x) is:

-cosec^2(x)

cosec^2(x)

sec^2(x)

-sec(x)tan(x)

#28. d/dx(u*v) product rule is:

u(dv/dx)+v(du/dx)

u(dv/dx)-v(du/dx)

(du/dx)*(dv/dx)

u/v

#29. If y=c (constant), then dy/dx is:

#30. ∫ dx =

x+C

1+C

x^2+C

#31. ∫ a^x dx =

(a^x/ln a)+C

a^x+C

a^(x+1)/(x+1)+C

x*a^(x-1)+C

#32. ∫ cosec^2(x) dx =

-cot(x)+C

tan(x)+C

sec(x)+C

-cosec(x)+C

#33. Distance of point (x, y) from origin (0,0) is:

√(x^2 + y^2)

x+y

x^2 + y^2

√(x-y)

#34. Slope of horizontal line (parallel to x-axis) is:

Undefined

-1

#35. Slope of vertical line (parallel to y-axis) is:

Undefined (∞)

-1

#36. Equation of x-axis is:

y=0

x=0

x+y=0

y=1

#37. Equation of y-axis is:

x=0

y=0

x+y=1

x=1

#38. Magnitude of a unit vector is:

-1

Any real number

#39. i x i (cross product of unit vector i with itself) is:

#40. Vectors having same magnitude and direction are called:

Equal vectors

Parallel vectors

Unit vectors

Null vectors

#41. In an ellipse, eccentricity ‘e’ is always:

e<1

e=1

e>1

e=0

#42. In a hyperbola, eccentricity ‘e’ is always:

e>1

e=1

e<1

e=0

#43. Length of latus rectum of parabola y^2=4ax is:

a/4

#44. Centroid of a triangle divides each median in ratio:

2:1

1:1

3:1

1:2

#45. Limit of (sin x / x) as x approaches 0 is:

Infinity

Undefined

#46. Limit of (1 + 1/n)^n as n approaches infinity is:

Infinity

#47. If matrix A is 3×3 and |A|=4, then |adj A| is:

#48. Number of subsets of a set with n elements is:

2^n

n^2

#49. The sum of angles in a triangle in radians is:

2π

π/2

3π/2

#50. The scalar product of two vectors is also known as:

Dot product

Cross product

Vector product

Box product

Finish

Results

#1. Additive inverse of complex number (a+bi) is:

#2. If |A|=5 for a 2×2 matrix A, then |2A| is:

#3. The transpose of a diagonal matrix is a:

#4. Which of the following is an irrational number?

#5. If f:A->B and range of f=B then f is called:

#6. The degree of polynomial equation 3x^4 – 2x^2 + 7 = 0 is:

#7. If synthetic division is performed, the remainder obtained when P(x) is divided by (x-a) is:

#8. If roots of quadratic equation are equal, the value of b^2 – 4ac is:

#9. Harmonic Mean between 2 and 4 is:

#10. The sum of n terms of an A.P. is given by:

#11. If a, b, c are in G.P., then:

#12. If a, b, c are in A.P., then:

#13. The value of 7C0 is:

#14. Number of diagonals in a polygon of n sides is:

#15. Probability of impossible event is:

#16. Probability of a sure event is:

#17. Value of sin(180°):

#18. Value of cos(180°):

#19. Value of tan(90°):

#20. 1 radian is equal to approximately:

#21. To convert degree into radian, we multiply by:

#22. Angle subtended at the center of circle of radius r by arc length l is θ =

#23. cos(-θ) =

#24. sin(-θ) =

#25. In triangle ABC, sum of internal angles (A+B+C) is:

#26. Derivative of cosec(x) is:

#27. Derivative of cot(x) is:

#28. d/dx(u*v) product rule is:

#29. If y=c (constant), then dy/dx is:

#30. ∫ dx =

#31. ∫ a^x dx =

#32. ∫ cosec^2(x) dx =

#33. Distance of point (x, y) from origin (0,0) is:

#34. Slope of horizontal line (parallel to x-axis) is:

#35. Slope of vertical line (parallel to y-axis) is:

#36. Equation of x-axis is:

#37. Equation of y-axis is:

#38. Magnitude of a unit vector is:

#39. i x i (cross product of unit vector i with itself) is:

#40. Vectors having same magnitude and direction are called:

#41. In an ellipse, eccentricity ‘e’ is always:

#42. In a hyperbola, eccentricity ‘e’ is always:

#43. Length of latus rectum of parabola y^2=4ax is:

#44. Centroid of a triangle divides each median in ratio:

#45. Limit of (sin x / x) as x approaches 0 is:

#46. Limit of (1 + 1/n)^n as n approaches infinity is:

#47. If matrix A is 3×3 and |A|=4, then |adj A| is:

#48. Number of subsets of a set with n elements is:

#49. The sum of angles in a triangle in radians is:

#50. The scalar product of two vectors is also known as:

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