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

Which one is a constant function ?

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

Which one is an identity function ?

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

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

• Line A
• Circle B
• Parabola C
• Ellipse 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

• 0 A
• 1 B
• e C
• Does not exist D

• Undefined A
• 3a² B
• a² C
• 0 D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 2 B
• 1 C
• 3 D

x² + y² = 4 is:

• Function A
• Not a function B
• Ellipse C
• Line D

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

• Complex A
• Rational B
• Real C
• None of these D

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

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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

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

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