12th class Mathematics chapter 1 online mcq test with answers for Fa part 2 Mathematics Chapter 1 (Functions and Limits)

Cosh² x + Sinh² x =

• Cosh x² A
• Cosh 2x B
• Sinh 2x C
• Tanh 2x D

Which one is a constant function ?

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• Line A
• Parabola B
• Ellipse C
• Hybperbola D

• Undefined A
• 3a² B
• a² C
• 0 D

• 1 A
• 2 B
• 3 C
• 4 D

• Constant A
• Implicit B
• Explicit C
• Inverse 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

Inverse hyperbolic functions are expressed in terms of natural:

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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

• Independent variable A
• Not function B
• 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

The range of the function f(x) = |x|

• 
  A
• 
  B
• 
  C
• 
  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

The term function was introduced by:

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

• 0 A
• 1 B
• e C
• Does not exist D