Sakshi Gupta
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Sakshi Gupta
Created by Sakshi Gupta over 8 years ago
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IIT JEE Main and Advanced Examination

Question 1 of 5

1

Suppose that g(x) = 1 + x & f(g(x)) = 3 +
2 x + x, then f(x) is

Select one of the following:

  • 2 + x2

  • 1 + 2x2

  • 1 + x

  • 2 + x

Explanation

Question 2 of 5

1

The number of solutions of the equations
a
f(x) + g(x) = 0, where a > 0, g(x)  0 and
has minimum value 1/2, is -

Select one of the following:

  • infinitely many

  • only one

  • two

  • zero

Explanation

Question 3 of 5

1

If A and B are two events such that P(A  B)
 3/4 and 1/8  P(A  B)  3/8, then -

Select one of the following:

  • P(A) + P(B)  11/8

  • P(A) . P(B)  3/8

  • P(A) + P(B)  7/8

  • P(A) + P(B)  7/13

Explanation

Question 4 of 5

1

The area bounded by the curve y = x + sin x
and its inverse function between the ordinates
x = 0 and x = 2, is -

Select one of the following:

  • 8 sq unit

  • 4 sq unit

  • 8 sq unit

  • 7 sq unit

Explanation

Question 5 of 5

1

If x  [0, 2] and g(x) = f(x) + f(2 – x). Also,
f”(x) < 0, then g(x)

Select one of the following:

  • decreases in [0, 1) and increases in (1, 2]

  • increases in [0, 1) and decreases in (1, 2]

  • increases in [1, 1) and decreases in (1, 2]

  • increases in [0, 0) and decreases in (1, 2]

Explanation

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