ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 17 (Functions and Limits)

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

Composition of functions is

• Non-commutative (fg ≠ gf) A
• non-associative [8(fh) ≠(8f)h] B
• Commutative (fg = gf) C
• f of-1≠ 1 D

• 0 A
• 1 B
• 2 C
• 
  D

f(x) = x3-x/x2+1 is :

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

• (1,7/3) A
• (1, 7/5) B
• (1, 11/7) C
• (1, 3/5) D

The range of function f(x)=-x2+2x-1 is

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

A function from X to X is denoted as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

If f(x) = cos x then f(0) is

• 0 A
• 1 B
• 1/2 C
• 
  D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• sin h x A
• cos h x B
• tan h x C
• cot h x D

• -1 A
• 1 B
• 2 C
• -2 D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

• 0 A
• 1 B
• 1/2 C
• 
  D

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

f(x) = ax + b will be an identity function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  D

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

if the value of the sphere, v =4/3πr^2, then the which of the following statement is true?

• r is the function of v A
• v is the function ofπ B
• π is independent variable C
• None of these D

If y=f(x) is a function then y is called

• dependent variable A
• independent variable B
• constant C
• none of these D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D