12th class Mathematics chapter 1 online mcq test with answers for Fa part 2 Mathematics Chapter 1 (Functions and Limits)

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

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

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

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

Let f(x) = x², then range of f is the set of all:

• Real numbers A
• Non-negative real numbers B
• Non-negative integers C
• Complex numbers D

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

Which one is a constant function ?

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

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

• -1 A
• 0 B
• 1 C
• 
  D

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

• Undefined A
• 3a² B
• a² C
• 0 D

• Even A
• Odd B
• One-one C
• Zero D

• 0 A
• 2 B
• 1 C
• 3 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

Cosh² x + Sinh² x =

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

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

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

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

Let f(x) = x³ + sin x, then f(x) is:

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