ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 17

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

cos h² x + sin h² x

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

The largest possible domain of the function:

y=√(x ) is:

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

• 3/4 A
• r B
• v C
• None of these D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 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

if f(x) = x³ -3x² +5x -1, then f(-√2)=

• 7+7√2 A
• 3+3√2 B
• -7-7√2 C
• -3-3√2 D

The domain of f(x) = log x is

• [0,∞] A
• (0,∞) B
• [0,∞[ 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

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

• 
  A
• 
  B
• 
  C
• 
  D

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

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

• 0 A
• 1 B
• 1/2 C
• 
  D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

• 0 A
• -4 B
• 
  C
• none of these D

A function from X to Y is written as

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

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

• 2 A
• 1 B
• 5 C
• 0 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

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

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

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

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

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

Inverse of the function y-10x is

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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

Graph of the question x²+ y²= 4 is

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