BITSAT Mathematics Application Of Integrals MCQs

Question: The area under the curve y = | cos x – sin x |,and above x-axis is :

• a) 2 √2
• b) 2 √2 - 2
• c) 2 √2 + 2
• d) 0

Answer: 2 √2 - 2

Question: The area of the region R = is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The area bounded by the x-axis, the curve y = f(x) and the lines x =1, x =b, is equal to for all b > 1, then f(x) is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Area intercepted by the curves y = cos x, x €[0, π] and y = cos 2x, x Î[0,π] , is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The area bounded by the curve y = sinx, x-axis and the ordinates x = 0 and x = π/2 is

• a) π
• b) π/2
• c) 1
• d) 2

Answer: 1 

Question: What is the area bounded by y = tan x , y = 0 and 

• a) ln 2 sq. units
• b)

  

• c) 2 (ln 2) sq. units
• d) None of these

Answer: 

Question: The area of the region bounded by the curve y = x | x |, x-axis and the ordinates x = 1, x = -1is given by :

• a) zero
• b)

  

• c)

  

• d) 1

Answer:

Question: Area of the triangle formed by the line x + y = 3 and angle bisectors of the pair of straight lines x² – y² + 2y =1 is

• a) 2 sq. units
• b) 4 sq. units
• c) 6 sq. units
• d) 8 sq. units

Answer: 2 sq. units

Question: The area between the parabola y = x² and the line y = x is:

• a)

  

• b)

  

• c)

  

• d)

  None of these

Answer:

Question: The area between the curve y = 1 – |x| and the x – axis is equal to

• a) 1 sq. unit
• b)

  

• c)

  

• d) 2 sq. units

Answer: 1 sq. unit

Question: The area of the figure bounded by y = e^x, y = e^x and x = 1 is

• a) 2(e – 1)
• b) 

  

• c)

  

• d)

  

Answer:

Question:  The area of the region bounded by y = | x – 1 | and y = 1 is

• a) 2
• b) 1
• c) 1/2
• d) 1/4

Answer: 1

Question: The area bounded by the x-axis, the curve y = f(x) and the lines x =1, x =b, is equal to for all b > 1, then f(x) is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The area of the region R = is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The area under the curve y = | cos x – sin x |,and above x-axis is :

• a) 2 √2
• b) 2 √2 - 2
• c) 2 √2 + 2
• d) 0

Answer:  2 √2 - 2