ECAT Pre Engineering MCQ Test With Answer for Chapter 17 Mathematics

• 0 A
• 1 B
• 
  C
• -1 D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

If f (x) = 2x+1 then fof (x) = _______;

• 4x+3 A
• 2x +3 B
• 4x +1 C
• None of these D

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) D

• -1 A
• 1 B
• 2 C
• -2 D

In the function f: A⟶B, the elements of a are called

• Images A
• Pre-images B
• ranges C
• Parameters 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

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e 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

Inverse of the function y-10x is

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

• 2 A
• 
  B
• -2 C
• none of these D

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 
  A
• 
  B
• 
  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

The behavior of trigonometric function is called

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

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

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

• 0 A
• 1 B
• -1 C
• 2 D

The domain of y =√(x^2-9) is

• R A
• (0 , +∞) B
• (-∞ , -3 )∪ (3 , +∞) C
• (0 ,∞) D

Graph of the question x²+ y²= 4 is

• A circle A
• An ellipse B
• A parabola C
• A square D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = ax + b will be a constant function if

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

• sin h x A
• cos h x B
• sec h x C
• cosec h x D

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function D

• 
  A
• 
  B
• 
  C
• 
  D