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

• 
  A
• In(x²- x + 1)⁴+ c B
• 
  C
• 
  D

The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

• 
  A
• 
  B
• 
  C
• 
  D

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

• 0.4cm A
• 8.8πcm B
• 17.6 πcm C
• 35.2πcm D

• 
  A
• 
  B
• 
  C
• 
  D

• sec 5x + c A
• - sec 5x + c B
• 
  C
• 
  D

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

• 2 A
• 3 B
• 4 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The function ø(x) is ananti derivativeof function f (x),x∈Df if

• ø′(x) =∫f(x)dx A
• ø(x) =∫f(x)dx B
• ø′(x) =f(x) C
• ø(x) =∫′(x)dx 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
• a^xIn a + c B
• a^x+ c C
• x a^x+ c D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• π/6 B
• -π/2 C
• 2π D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• x²+ 2x + c C
• (x²+ 2x -1)⁴+ c D

∫x/Sin² x dx is equal to:

• x cot x + ln|sin⁡x | A
• -x cot x - ln|sin⁡x | B
• x cot x - ln|sin⁡x | C
• x. tan x- ln|sec⁡x | D

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• Always negative A
• Zero B
• Always positive C
• Infinity D

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

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

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