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

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y C
• None of these D

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

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

Cosh² x + Sinh² x =

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

• 1 A
• 2 B
• 3 C
• 4 D

Let f(x) = x², then range of f is the set of all:

• Real numbers A
• Non-negative real numbers B
• Non-negative integers C
• Complex numbers D

Let f(x) = x³ + sin x, then f(x) is:

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

Let f(x) = x² + 3, then domain of f is:

• Set of all integers A
• Set of natural numbers B
• Set of real numbers C
• Set of rational numbers 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

Which one is an identity function ?

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

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

x² + y² = 4 is:

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

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

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

• 4, 6 A
• 2, 7 B
• 2, 3 C
• 2, 5 D

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

If the degree of a polynomial function is ------------, then it is called a linear function:

• 0 A
• 1 B
• 2 C
• 3 D

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

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

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