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

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

• 1 A
• 2 B
• 3 C
• 4 D

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

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

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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 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

• 0 A
• 2 B
• 1 C
• 3 D

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

Which one is a constant function ?

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

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

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

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

• -1 A
• 0 B
• 1 C
• 
  D

Cosh² x + Sinh² x =

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

Parametric equations x = a cos t, y = a sin t represent the equation of:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  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) 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