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

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

• 
  A
• 
  B
• 
  C
• 
  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

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

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

f(x) = sin x + cos x is ------------ function:

• Even A
• Odd B
• Composite C
• Neither even nor odd function D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Let f(x) = cos x, then f(x) is an:

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

• 0 A
• 1 B
• e C
• Does not exist 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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

x² + y² = 4 is:

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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

tanh x =

• 
  A
• 
  B
• 
  C
• 
  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

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

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

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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

• Even A
• Odd B
• One-one C
• Zero D