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

The range of the function f(x) = |x|

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• e C
• Does not exist D

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines 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

• Even A
• Odd B
• One-one C
• Zero D

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

Cosh² x + Sinh² x =

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

The term function was introduced by:

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

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

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

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

If f(x) = |x|, f(x) is a:

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

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

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

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

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

• 1 A
• 2 B
• 3 C
• 4 D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain 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

x² + y² = 4 is:

• Function A
• Not a function B
• Ellipse C
• Line D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D