ECAT Pre Computer Science Mathematics MCQ Test With Answer for Full Book

Domain of tan x is ______

• 
  A
• 
  B
• 
  C
• 
  D

A relation in which the equality is true for all values of the unknown is called ______

• An identity A
• An equation B
• A polynomial C
• None of these D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

Range of cotθis

• (+∞to -∞) A
• (-1 to +1) B
• (-5 to +5) C
• Set of even numbers only D

The formula an = arn-1represents

• nth term of G.P A
• Sum of the first n terms B
• G.M between a and b C
• None of these D

• n(A) A
• n(B) B
• 0 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

The upper 3/4 the portion of a vertical pole subtends an angle tan^-13/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is

• 20 m A
• 40 m B
• 60 m C
• 80 m D

A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is

• 
  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

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x D

Name the property used in 4 + 9 = 9 + 4

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

If A is singular then |A| = ______

• 1 A
• 0 B
• 2 C
• None of these D

4^1+x+ 4^1-x= 10 is called

• Reciprocal equation A
• Exponential equation B
• Radical equation C
• None of these D

Area of inscribed circle is

• π R2 A
• π η2 B
• π r22 C
• π r2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

The difference of two consecutive terms of an A.P is called the

• Common difference A
• Common ratio B
• Geometric series C
• Geometric mean D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

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

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

• 
  A
• 
  B
• 
  C
• none of these D

• Commutative law of addition A
• Associative law of addition B
• Additive identity C
• Additive inverse D

Differentiating the equation e²x/x+1 with respect to X is given by

• (2x +1) e ²x/(x+1)² A
• 2xe^2x/(x+1)² B
• 2e^2x/(x+1)² C
• (x+1)e^2x/(x+1)² D

• 
  A
• 
  B
• 
  C
• 
  D

• additive property A
• multiplicative property B
• additive inverse C
• additive identity D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

• 8 A
• 9 B
• 10 C
• 11 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D