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

Cosh² x + Sinh² x =

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

• Undefined A
• 3a² B
• a² C
• 0 D

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

• Even A
• Odd B
• One-one C
• Zero D

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

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

A function, in which the variable appears as exponent (power), is called a / an -------- function.

• Constant A
• Explicit B
• Exponential C
• Inverse 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

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

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

Inverse hyperbolic functions are expressed in terms of natural:

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

• 0 A
• 1 B
• e C
• Does not exist 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

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

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

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

• -1 A
• 0 B
• 1 C
• 
  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 A
• Implicit B
• Explicit C
• Inverse D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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