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 are the coordinates of the point on the parabola which is closest to the straight line?
A
(0, 2)
B
($$-$$2, $$-$$8)
C
($$-$$7, 2)
D
(1, 10)
2
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
$${{\sqrt 5 } \over 4}$$
3
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
4
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
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