JEE Mathematics Definite Integral MCQs Set A

Question:

• a)

  

• b) log 2
• c) 0
• d) -log 2

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 8/21
• b) 20/21
• c) -20/21
• d) None of these

Answer: 8/21

Question:

• a) 2/3
• b) 1/3
• c) 4/3
• d) 3/4

Answer: 2/3

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) a = b

Answer:

Question:

• a)

  

• b)

  

• c) 1
• d) None of these

Answer:

Question:

• a) 1
• b) –1
• c) 0
• d) None of these

Answer: 1

Question:

• a) 4
• b) 1
• c) 2
• d) –1

Answer: 4

More Questions..............................

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 2 log (3/2e³)
• b) 4 log (3/e³)
• c) log (3/e³)
• d) 3log (3/e³)

Answer: 2 log (3/2e³)

Question:

• a) e – 2
• b) e² – 2
• c) e + 2
• d) e²

Answer: e – 2

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b) e(e – 1)
• c) 0
• d) none of these

Answer:

Question:

• a) I₂ > I₁
• b) I₁ > 2I₂
• c) I₁ > I₂
• d) I₁ = I₂

Answer: I₂ > I₁

Question:

• a)

  

• b)

  

• c)

  

• d) 0

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 6
• b) 2
• c) 3
• d) 2/3

Answer: 6

Question:

• a) 0
• b) 1
• c) – 1
• d) None of these

Answer: 0

Question:

(1) [4, 6]           (2) [4,2 √30]
(3) [ √15, √30] (4) [1, 3]

• a) 1, 2 and 3 are correct
• b) 2 and 4 are correct
• c) 1 and 2 are correct
• d) 1 and 3 are correct

Answer: 1, 2 and 3 are correct

Question:

Then which of the following alternative (s) is/are correct?

(3) maximum value of f (x) does not exist
(4) f is continuous and derivable on R

• a) 2 and 4 are correct
• b) 1, 2 and 3 are correct
• c) 1 and 2 are correct
• d) 1 and 3 are correct

Answer: 2 and 4 are correct

Question: Let f (x) be a continuous function and C is a constant satisfying

(1) f (x) = e^x – 2e^2x 

(2) f (x) = e^x + 2e^x

(3) C=1/3-2e

• a) 1 and 3 are correct
• b) 1 and 2 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 3 are correct

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• b) Statement -1 is False, Statement-2 is True.
• c) Statement -1 is True, Statement-2 is False.
• d) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question: Definite integral of any discontinuous or non-differentiable function is normally find out by the property Statement 1 : Let a, b, c be non-zero real numbers and f (x) = ax² + bx + c satisfying

then the equation f (x) = 0 has at least one root in (0, 2).

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.