1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A given quantity of metal is to be case into a half cylinder (i.e. with a rectangular base and semicircular ends). If the total surface area is to be minimum, then the ratio of the height of the half cylinder to the diameter of the semicircular ends is
A
$$\pi$$ : ($$\pi$$ + 2)
B
($$\pi$$ + 2) : $$\pi$$
C
1 : 1
D
None of these
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The minimum distance from the point (4, 2) to y2 = 8x is equal to
A
$$\sqrt 2 $$
B
2$$\sqrt 2 $$
C
2
D
3$$\sqrt 2 $$
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the minimum value of a2x + b2y where xy = c2 ?
A
abc
B
2abc
C
3abc
D
4abc
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

The non-negative values of $b$ for which the function $\frac{16x^3}{3} - 4bx^2 + x$ has neither maximum nor minimum in the range $x>0$ is

A

0 < b < 1

B

1 < b < 2

C

b > 2

D

0 <= b < 1

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