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

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

Cosh² x + Sinh² x =

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

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• Undefined A
• 3a² B
• a² C
• 0 D

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

• 4 A
• Does not exist B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 1 A
• -1 B
• 2 C
• -2 D

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

If f(x) = |x|, f(x) is a:

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

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

• R A
• R - {2} B
• R - {2, -2} C
• R - {-2} 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

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

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

f (x) = x secx, then f(0)=

• -1 A
• 0 B
• 1 C
• 
  D

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

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