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

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

Cosh² x + Sinh² x =

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

• 0 A
• 2 B
• 1 C
• 3 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

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

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

Inverse hyperbolic functions are expressed in terms of natural:

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

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

The term function was introduced by:

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

• 1 A
• 2 B
• 3 C
• 4 D

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

Let f(x) = x² + 3, then domain of f is:

• Set of all integers A
• Set of natural numbers B
• Set of real numbers C
• Set of rational numbers D

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

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

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

• 4, 6 A
• 2, 7 B
• 2, 3 C
• 2, 5 D

x² + y² = 4 is:

• Function A
• Not a function B
• Ellipse C
• Line D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• 2 C
• 3 D

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

• Even A
• Odd B
• One-one C
• Zero D