Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 74

HARD

NDA & NA EE

IMPORTANT

Earn 100

What is the area of the region bounded by the parabolas $y^{2} = 6 (x - 1)$ and $y^{2} = 3 x$ ?

74.56% studentsanswered this correctly

Important Questions on Solved Paper 2018 (I)

HARD

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 76

What is

\int_{0}^{π} e^{x} \sin x d x

equal to?

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 77

If

f (x) = \frac{x^{2} - 9}{x^{2} - 2 x - 3}, x \neq 3

is continuous at

x = 3,

then which one of the following is correct?

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 78

What is

\int_{1}^{e} x \ln x d x

equal to?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 79

What is the given function

\int_{0}^{\sqrt{2}} [x^{2}] d x

equal to (where,

[.]

is the greatest integer function)?

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 80

What is the maximum value of

16 sinθ - 12 \sin^{2} θ ?

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 81

If

f : R \to S

is defined by

f (x) = 4 \sin x - 3 \cos x + 1

is an onto function, then what

S

is equal to ?

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 82

For

f

to be a function, what is the domain of

f,

if

f (x) = \frac{1}{\sqrt{| x | - x}} ?

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 2 - Solved Paper 2018 (I)>PAPER I : Mathematics>Q 83

What is the solution of the differential equation

x d y - y d x = 0 ?