ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 17 (Functions and Limits)

• 0 A
• 1 B
• 
  C
• none of these D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

• 0 A
• 1 B
• 2 C
• 1/2 D

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 D

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

• 3a2 A
• 2a2 B
• 2a C
• -7a D

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

f(x) = x3-x/x2+1 is :

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd 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

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

• Leibniz A
• Newton B
• Euler C
• None of these D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

f(x) = ax + b will be an identity function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  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

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

f(x) = x³is:

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

• 0 A
• 1 B
• 
  C
• -1 D

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

• 2 A
• 1 B
• 5 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• -2 A
• -1 B
• 1 C
• 2 D

• 2 A
• 6 B
• 
  C
• 
  D

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D