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

The function y = ln x is a/an -------------- function of x.

• Constant A
• Explicit B
• Exponential C
• Logarithmic D

• 
  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

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

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

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines 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

• 1 A
• 2 B
• 3 C
• 4 D

If y is an image of x under the function f, we denote it by:

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

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

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

• Implicit A
• Explicit B
• Exponential C
• Logarithmic D

• Continuous at x = 1 A
• Not continuous at x = 1 B
• Both a and b C
• none D

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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

Which one is an identity function ?

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

Let f(x) = x² + 3, then domain of f is:

• Set of all integers A
• Set of natural numbers B
• Set of real numbers C
• Set of rational numbers D

• Constant function A
• Absolute linear function B
• Linear function C
• Quadratic function D

• Even A
• Odd B
• One-one C
• Zero D