1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements in respect of the function f(x) = x2 + 1 in the interval [1, 2]:

1. The maximum value of the function is 5.

2. The minimum value of the function is 2.

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Where does the tangent to the curve y = ex at the point (0, 1) meet x-axis?
A
(1, 0)
B
(-1, 0)
C
(2, 0)
D
$\rm \left(-\frac{1}{2}, 0\right)$
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements in respect of the function f(x) = x + $\rm \frac{1}{x}$:

1. The local maximum value of f(x) is less than its local minimum value.

2. The local maximum value of f(x) occurs at x = 1.

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?
A
4 square units
B
6 square units
C
8 square units
D
16 square units
EXAM MAP