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1
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Consider the following for the two (02) items that follow: Let ABC be a triangle right-angled at B and AB+AC = 3 units.
What is ∠A equal to if the area of the triangle is maximum?
A
π/6
B
π/4
C
π/3
D
5π/12
2
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Consider the following for the two (02) items that follow: Let ABC be a triangle right-angled at B and AB+AC = 3 units.
What is the maximum area of the triangle?
A
$\sqrt{3}/2$
B
$\sqrt{3} $
C
$\sqrt{6}/2$
D
$\sqrt{6}$
3
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Consider the following for the two (02) items that follow:
The slope of the tangent to the curve y = f(x) at (x, f(x) ) is 4 for every real number x and the curve passes through the origin.
What is the nature of the curve?
A
A straight line passing through (1,4)
B
A straight line passing through (-14)
C
A parabola with vertex at origin and focus at (2,0)
D
A parabola with vertex at origin and focus at (1, 0)
4
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Consider the following for the two (02) items that follow:
Let the function f(x) = x 2 + 9
Consider the following statements:
I. f(x) is an increasing function.
II. f(x) has local maximum at x = 0
Which of the statements given above is/are correct?
A
I only
B
II only
C
Both I and II
D
Neither I nor II
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