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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

f(x) is odd function. If and only if:

• f(-x) = -f(x) A
• f(-x) = f(x) B
• f(x) = 3f(-x) C
• f(x) = -3f(-x) D

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

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

• Undefined A
• 3a² B
• a² C
• 0 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

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

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these D

The term function was introduced by:

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

• 
  A
• 
  B
• 
  C
• 
  D

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

Which one is an identity function ?

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

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• e C
• Does not exist D