2nd Year Mathematics Chapter 1 Online MCQ Test for 12th Class Mathematics Unit 1 (Functions and Limits)

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

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Let f(x) = cos x, then f(x) is an:

• Even function A
• Odd function B
• Power function C
• None of these D

Let f(x) = x², real valued function then domain of f is the set of all:

• Real numbers A
• Integers B
• Positive numbers C
• Natural numbers D

f(x) = sin x + cos x is ------------ function:

• Even A
• Odd B
• Composite C
• Neither even nor odd function D

• 0 A
• 2 B
• 1 C
• 3 D

• Implicit A
• Explicit B
• Exponential C
• Logarithmic 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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

• Even A
• Odd B
• One-one C
• Zero D

Which one is a constant function ?

• f(x) = x² A
• f(x) = x B
• f(x) = x + 1 C
• f(x) = 14 D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines D