ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 19

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

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

• Constant function A
• Variable value B
• Function of upper limit C
• All D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 1 + tan²x + c A
• tan x + c B
• -tan x + c C
• cot x + c D

The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

• 1.2% A
• 1.5% B
• 0.16% C
• 100.16% D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

The general solution of the differential equation x dy / dx = 1 + y is:

• 2 A
• 1 B
• 3 C
• None D

• 
  A
• 
  B
• In f(x) + c C
• f(x) - c D

• sec 3x + c A
• - cosec 3x + c B
• 
  C
• 
  D

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

• (x³- 3x²)⁸+ c A
• 
  B
• 
  C
• 3x²- 6x + c D

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

• 
  A
• 
  B
• 
  C
• none of these D

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

• - cot 4x + c A
• cot 4x + c B
• tan 4x + c C
• - tan 4x + c D

• 
  A
• 
  B
• 
  C
• 
  D

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• A variable A
• A constant B
• 0 C
• None of these D

The process of finding a function whose derivative is given is called a

• Differentiation A
• Integration B
• Differential C
• None D

• e^x+ c A
• e^-x+ c B
• x e^x+ c C
• not possible D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D