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

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

Which one is a constant function ?

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines D

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

• -1 A
• 0 B
• 1 C
• 
  D

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

Which one is an identity function ?

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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