ECAT Pre Engineering MCQ Test With Answer for Chapter 17 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 2 C
• 1/2 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

• 2 A
• 4 B
• 8 C
• 12 D

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

• 3a2 A
• 2a2 B
• 2a C
• -7a D

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

• 1 A
• 2 B
• 3 C
• 4 D

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

The domain of y = cos-1 x is

• -∞ < x < ∞ A
• -1≤ x≤ 1 B
• x≤ -1 or x ≥ 1 C
• None of these D

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

• sinx A
• cosx B
• tanx C
• secx D

• 0 A
• 1 B
• 
  C
• none of these D

f(x) = 3x⁴ -2x² + 7 is:

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

• 
  A
• 
  B
• 
  C
• 
  D

The largest possible domain of the function:

y=√(x ) is:

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

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

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

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] D

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

• 0 A
• -2 B
• 1 C
• 4 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 11 A
• 7 B
• 5 C
• 2 D

• quadratic function A
• constant function B
• trigonometric function C
• linear function 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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

The domain the function : f(x) = x² is given by

• R A
• Set of all non-negative Real numbers B
• R^-1 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D