Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 31

EASY

NDA & NA EE

IMPORTANT

Earn 100

The axis of the parabola $y^{2} + 2 x = 0$ is

33.33% studentsanswered this correctly

Important Questions on Conic Section

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 32

The length of latus rectum of the ellipse

4 x^{2} + 9 y^{2} = 36

is

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 33

The foci of the hyperbola

4 x^{2} - 9 y^{2} - 1 = 0

are

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 34

A point

P

moves such that its distances from

(1, 2)

and

(- 2, 3)

are equal. Then the locus of

P

is

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 35

What is the sum of the major and minor axes of the ellipse, whose eccentricity is

\frac{4}{5}

and length of latus rectum is

14.4

units?

HARD

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 36

What is the equation of parabola, whose vertex is at

(0, 0)

and focus is at

(0, - 2)

?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 37

What is the length of the latus rectum of an ellipse

25 x^{2} + 16 y^{2} = 400

?

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 38

The point on the parabola

y^{2} = 4 a x

nearest to focus has its abscissa

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 21 - Conic Section>Practice Exercise>Q 39

The hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ passes through the point $(3 \sqrt{5}, 1)$ and the length of its latus rectum is $\frac{4}{3}$ units. The length of the conjugate axis is