NDA 2015 Paper 2 | Conic Section Question 1 | Mathematics

Consider any point P on the ellipse $${{{x^2}} \over {25}} + {{{y^2}} \over 9} = 1$$ in the first quadrant. Let r and s represent its distances from (4, 0) and ($$-$$4, 0) respectively, then (r + s) is equal to

10 units

9 units

8 units

6 units

NDA 2015 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

The eccentricity of the hyperbola 16x² $$-$$ 9y² = 1 is

$${3 \over 5}$$

$${5 \over 3}$$

$${4 \over 5}$$

$${5 \over 4}$$

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

What is the equation of the hyperbola having latusrectum and eccentricity 8 and $${3 \over {\sqrt 5 }}$$ respectively?

$${{{x^2}} \over {25}} - {{{y^2}} \over {20}} = 1$$

$${{{x^2}} \over {40}} - {{{y^2}} \over {20}} = 1$$

$${{{x^2}} \over {40}} - {{{y^2}} \over {30}} = 1$$

$${{{x^2}} \over {30}} - {{{y^2}} \over {25}} = 1$$

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If the ellipse $$9{x^2} + 16{y^2} = 144$$ intercepts the line $$3x + 4y = 12$$, then what is the length of the chord so formed?

5 units

6 units

8 units

10 units

NDA Subjects

English

Reading Comprehension Synonyms Antonyms Cloze Rearranging Sentences in a Paragraph Idioms and Phrases Word Classes Sentence Completion Improvement of Sentence

General Science

Physics Chemistry Biology

General Studies

Polity Geography History Economy General Knowledge