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

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

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

• Even A
• Odd B
• One-one C
• Zero D

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

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

Which one is an identity function ?

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

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

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

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

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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• e C
• Does not exist 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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  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

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

• -1 A
• 0 B
• 1 C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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