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

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

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

x² + y² = 4 is:

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

Which one is an identity function ?

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

The term function was introduced by:

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

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

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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

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

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

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

• -1 A
• 0 B
• 1 C
• 
  D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines D

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

• 1 A
• 2 B
• 3 C
• 4 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

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