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

Cosh² x + Sinh² x =

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

• 
  A
• 
  B
• 
  C
• 
  D

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

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

• Even A
• Odd B
• One-one C
• Zero D

The area A of a circle as a function of its circumference C is:

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

The term function was introduced by:

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

Every relation, which can be represented by a linear equation in two variables, represents a:

• Graph A
• Function B
• Cartesian product C
• Relation D

Let f(x) = x³ + sin x, then f(x) is:

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

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

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

• 0 A
• 1 B
• e C
• Does not exist 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

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

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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D