ECAT Pre Engineering MCQ Test With Answer for Chapter 17 Mathematics

A function from X to Y is written as

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

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

• 2 A
• 4 B
• 8 C
• 12 D

f(x) = 1 is

• identity function A
• constant function B
• linear function C
• quadratic function D

• -1 A
• 1 B
• 2 C
• -2 D

f(x) = 2^x+ 3 . 2^2x+ 5 is

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

• 2 A
• 
  B
• 
  C
• 0 D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

• 2 A
• -1 B
• 8 C
• not defined D

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

• -2 A
• -1 B
• 1 C
• 2 D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

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

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

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 D

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = 3x/x² + 1 is:

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

• images A
• pre-images B
• constants C
• none of these D

• 0 A
• 1 B
• 8 C
• ∞ D

The range of the function f : x→ y is defined by

• {x| y = f (x) ∀x∈ X ∧y∈y} A
• {(x,y) |y = f (x)∀x∈ X} B
• {y|y = f (x) ∀x∈ X ∧y∈y} C
• Y D

• π A
• 2π B
• π/2 C
• None of these D

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

• One-one but not onto A
• One-one and onto B
• Onto but not one-one C
• Neither one-one nor onto D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

• 
  A
• 
  B
• 
  C
• 
  D

• image A
• pre-image B
• constant C
• none of these D

• 2 A
• 1 B
• 5 C
• 0 D