ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

• X = 100 sinθ A
• X = 10 sinθ B
• X = 100 secθ C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• a f(x) + c B
• f(x) + a C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• a cos(ax + b) + c A
• - a cos(ax + b) + c B
• 
  C
• 
  D

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

• Differential equation A
• Initial condition B
• General solution C
• Singular equation D

• 
  A
• In(x²- x + 1) + c B
• 
  C
• In(2x - 1) + c D

• 
  A
• 6x + 2 + c B
• 6x + x²+ c C
• 6x³+ x²+ x D

The differential equation of all st. lines which are at a constant distance to form the origin is

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

• Boundaries A
• Variable separable B
• Initial values C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

• Y = -x log x -x + c A
• Y = x log x + x B
• Y = x log x - x + c C
• None of these D

The integral of 3x⁵dx is:

• 15 x⁴ A
• x⁶ /2 B
• 1/6x⁵ C
• x⁵ /ln3 D

• cosec x + c A
• -cosec x + c B
• -sec x + c C
• sec x + c D

∫ x cos dx is equal to :

• x cos x + sin x A
• cos x + x sin x B
• x cos x + x sin x C
• x sin x + cos x D

• 
  A
• tan 3x + c B
• cot 3x + c C
• - cot 3x + c D

• 2x + 3 A
• x²+ 3 + c B
• 
  C
• 
  D

The area enclosed between the graph y = x² -4x and the x- axis is:

• 20/3 A
• 41/3 B
• 32/3 C
• 25/3 D

• 
  A
• 
  B
• 
  C
• 
  D

• cot x + c A
• tan x + c B
• -cot x + c C
• -tan x + c D

• y + 1 = Ae^x A
• y + 1 = Axe^x B
• xe^x = C C
• y + xe^x= C D

• cos x + c A
• -sin x + c B
• -cos x + c C
• sin x + c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D