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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

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

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

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 function y = ln x is a/an -------------- function of x.

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

• Undefined A
• 3a² B
• a² C
• 0 D

Which one is a constant function ?

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

• 1 A
• 2 B
• 3 C
• 4 D

If y is an image of x under the function f, we denote it by:

• x = f(y) A
• x = y B
• y = f(x) C
• f(x, y) = c 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 + 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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

The term function was introduced by:

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

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

• -1 A
• 0 B
• 1 C
• 
  D

Which one is 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

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

Which one is an identity function ?

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

• 0 A
• 2 B
• 1 C
• 3 D

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