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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The term function was introduced by:

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

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

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

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

• -1 A
• 0 B
• 1 C
• 
  D

tanh x =

• 
  A
• 
  B
• 
  C
• 
  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

• 0 A
• 2 B
• 1 C
• 3 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

Let f(x) = x³ + sin x, then f(x) is:

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

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

Which one is an identity function ?

• 
  A
• f(x) = g(x) B
• f (x) = x C
• f(x) = 1 D

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

• Independent variable A
• Not function B
• Function C
• None of these D

x² + y² = 4 is:

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

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

• Undefined A
• 3a² B
• a² C
• 0 D