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1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the parabola $$y = {x^2} + 7x + 2$$ and the straight line $$y = 3x - 3$$.
What is the shortest distance from the above point on the parabola to the line?
A
$${{\sqrt {10} } \over 2}$$
B
$${{\sqrt {10} } \over 5}$$
C
$${1 \over {\sqrt {10} }}$$
D
$${{\sqrt 5 } \over 4}$$
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
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
A
18 $$\pi$$ m2
B
15 $$\pi$$ m2
C
12 $$\pi$$ m2
D
8 $$\pi$$ m2
3
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
A
outside the ellipse
B
inside the ellipse but not at the focus
C
on the ellipse
D
at the focus
4
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
A
$${{{x^2}} \over {1024}} + {{7{y^2}} \over {64}} = 1$$
B
$${{49{x^2}} \over {1024}} + {{7{y^2}} \over {64}} = 1$$
C
$${{7{x^2}} \over {1024}} + {{49{y^2}} \over {64}} = 1$$
D
$${{{x^2}} \over {1024}} + {{{y^2}} \over {64}} = 1$$
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