1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Consider the following statements:
Statement-I: The function $f(x)=\frac{x^{3}+128}{x}$ has a minimum value 48 at x = 4
Statement-II: As x increases through 4, f'(x) changes sign from positive to negative.
Which one of the following is correct in respect of the above statements?
2
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
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?
3
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
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?
4
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
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.
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?
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