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

• Even A
• Odd B
• One-one C
• Zero 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

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

• 0 A
• 1 B
• e C
• Does not exist D

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

Let f(x) = x³ + sin x, then f(x) is:

• Even function A
• Odd function B
• Power function C
• None of these D

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

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

• Common logarithmic A
• Natural logarthmic B
• Exponential C
• None of these D

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

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

If the degree of a polynomial function is ------------, then it is called a linear function:

• 0 A
• 1 B
• 2 C
• 3 D

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

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

Which one is an identity function ?

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

The term function was introduced by:

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