NDA 2017 Paper 2 | Conic Section Question 8 | Mathematics

A man running round a racecourse notes that the sum of the distances of two flag-posts from him is always 10 m and the distance between the flag-posts is 8 m. The area of the path he encloses is

18 $$\pi$$ m²

15 $$\pi$$ m²

12 $$\pi$$ m²

8 $$\pi$$ m²

NDA 2017 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

The position of the point (1, 2) relative to the ellipse 2x² + 7y² = 20 is

outside the ellipse

inside the ellipse but not at the focus

on the ellipse

at the focus

NDA 2017 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

The equation of the ellipse whose centre is at origin, major axis is along X-axis with eccentricity $${3 \over 4}$$ and latusrectum 4 units is

$${{{x^2}} \over {1024}} + {{7{y^2}} \over {64}} = 1$$

$${{49{x^2}} \over {1024}} + {{7{y^2}} \over {64}} = 1$$

$${{7{x^2}} \over {1024}} + {{49{y^2}} \over {64}} = 1$$

$${{{x^2}} \over {1024}} + {{{y^2}} \over {64}} = 1$$

NDA 2017 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the equation of the ellipse having foci ($$\pm$$2, 0) and the eccentricity $${1 \over 4}$$ ?

$${{{x^2}} \over {64}} + {{{y^2}} \over {60}} = 1$$

$${{{x^2}} \over {60}} + {{{y^2}} \over {64}} = 1$$

$${{{x^2}} \over {20}} + {{{y^2}} \over {24}} = 1$$

$${{{x^2}} \over {24}} + {{{y^2}} \over {20}} = 1$$

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