ECAT Pre Engineering MCQ Test With Answer for Chapter 17 Mathematics

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D

• 2 A
• 
  B
• -2 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

x = secθ,y = tanθ are the parametric equations of

• Circle A
• Hyperbola B
• Ellipse C
• parabola D

• 0 A
• 1 B
• 
  C
• none of these D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• -2 A
• -1 B
• 1 C
• 2 D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = 2^x+ 3 . 2^2x+ 5 is

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion D

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

A function F(x) is called even if

• F(x) = F (-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• 2π B
• π/2 C
• None of these D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

If y=f(x) is a function then x is called

• dependent variable A
• independent variable B
• constant C
• none of these D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function C
• none of these D

The domain of y =√(x^2-9) is

• R A
• (0 , +∞) B
• (-∞ , -3 )∪ (3 , +∞) C
• (0 ,∞) D

if the value of the sphere, v =4/3πr^2, then the which of the following statement is true?

• r is the function of v A
• v is the function ofπ B
• π is independent variable C
• None of these D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D