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

Let f(x) = x², real valued function then domain of f is the set of all:

• Real numbers A
• Integers B
• Positive numbers C
• Natural numbers D

• 1 A
• 2 B
• 3 C
• 4 D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

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

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

• -1 A
• 0 B
• 1 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

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

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

The term function was introduced by:

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

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

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

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

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

• Even A
• Odd B
• One-one C
• Zero D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 4 A
• Does not exist B
• 
  C
• 
  D

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

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