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

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

Which one is a constant function ?

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

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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

The range of the function f(x) = |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

Cosh² x + Sinh² x =

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

Parametric equations x = a cos t, y = a sin t represent the equation of:

• Line A
• Circle B
• Parabola C
• Ellipse 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

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

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

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

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• Even A
• Odd B
• One-one C
• Zero D

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

• Constant A
• Explicit B
• Exponential C
• Logarithmic 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

Inverse hyperbolic functions are expressed in terms of natural:

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

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

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