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

• Undefined A
• 3a² B
• a² C
• 0 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 exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines 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

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

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

• Even A
• Odd B
• One-one C
• Zero D

Cosh² x + Sinh² x =

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

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

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

Let f(x) = x³ + sin x, then f(x) is:

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

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

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

Let f(x) = cos x, then f(x) is an:

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

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

• -1 A
• 0 B
• 1 C
• 
  D

The linear function f(x) = ax + b is an identity function if:

• a = 0, b = 1 A
• a = 1, b = 0 B
• a = 1, b = 1 C
• a = 0, b = 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

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

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