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

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

• 
  A
• 
  B
• 
  C
• 
  D

• Even A
• Odd B
• One-one C
• Zero D

The range of the function f(x) = |x|

• 
  A
• 
  B
• 
  C
• 
  D

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

Which one is a constant function ?

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

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

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

• 0 A
• 1 B
• e C
• Does not exist D

• 0 A
• 2 B
• 1 C
• 3 D

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

• Line A
• Circle B
• Parabola C
• Hyperbola 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

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

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

The term function was introduced by:

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

• Complex A
• Rational B
• Real C
• None of these D

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  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

Which one is an identity function ?

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