4245520
Description
Quiz by Sakshi Gupta, updated more than 1 year ago
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Created by Sakshi Gupta
almost 9 years ago
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Question 1
Question
Suppose that g(x) = 1 + x & f(g(x)) = 3 +
2 x + x, then f(x) is
Answer
-
2 + x2
-
1 + 2x2
-
1 + x
-
2 + x
Question 2
Question
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 -
Answer
-
infinitely many
-
only one
-
two
-
zero
Question 3
Question
If A and B are two events such that P(A B)
3/4 and 1/8 P(A B) 3/8, then -
Answer
-
P(A) + P(B) 11/8
-
P(A) . P(B) 3/8
-
P(A) + P(B) 7/8
-
P(A) + P(B) 7/13
Question 4
Question
The area bounded by the curve y = x + sin x
and its inverse function between the ordinates
x = 0 and x = 2, is -
Answer
-
8 sq unit
-
4 sq unit
-
8 sq unit
-
7 sq unit
Question 5
Question
If x [0, 2] and g(x) = f(x) + f(2 – x). Also,
f”(x) < 0, then g(x)
Answer
-
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]
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