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

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

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

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

The term function was introduced by:

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

• Parabola A
• Hyperbola B
• Ellipse C
• Circle 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

• 
  A
• 
  B
• 
  C
• 
  D

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

• Line A
• Parabola B
• Ellipse C
• Hybperbola 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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Inverse hyperbolic functions are expressed in terms of natural:

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

• 0 A
• 1 B
• e C
• Does not exist D

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

• -1 A
• 0 B
• 1 C
• 
  D