Second Year Mathematics Chapter 1 Online MCQ Test Functions and Limits Preparation

x = 3 cos t, y = 3 sin t represent

• Line A
• Circle B
• Parabola C
• Hyperbola D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y C
• None of these D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

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

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

• Constant A
• Explicit B
• Implicit C
• Inverse D

The area A of a circle as a function of its circumference C is:

• 
  A
• 
  B
• 
  C
• 
  D

Let f(x) = x², then range of f is the set of all:

• Real numbers A
• Non-negative real numbers B
• Non-negative integers C
• Complex numbers D

The linear function f(x) = ax + b is an identity function if:

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

f (x) = x secx, then f(0)=

• -1 A
• 0 B
• 1 C
• 
  D

The term function was introduced by:

• Euler A
• Newton B
• Lagrange C
• Leibniz D

• Constant A
• Implicit B
• Explicit C
• Inverse D

Which one is an identity function ?

• 
  A
• f(x) = g(x) B
• f (x) = x C
• f(x) = 1 D

• f(x² + 1) A
• f(x) B
• 
  C
• f(x²) D

• 1 A
• 2 B
• 3 C
• 4 D

• sin x A
• cos x B
• sinh x C
• cosh x D

• Constant A
• Implicit B
• Identity C
• Inverse D

• 0 A
• 1 B
• e C
• Does not exist D

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

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