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

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

• 
  A
• 
  B
• 
  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

f(x) is odd function. If and only if:

• f(-x) = -f(x) A
• f(-x) = f(x) B
• f(x) = 3f(-x) C
• f(x) = -3f(-x) 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

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

• Undefined A
• 3a² B
• a² C
• 0 D

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these D

• 0 A
• 2 B
• 1 C
• 3 D

x² + y² = 4 is:

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

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

• Even A
• Odd B
• One-one C
• Zero D

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

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

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

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

• 4 A
• Does not exist B
• 
  C
• 
  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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D