1
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?
A
$${{{x^2}} \over {25}} - {{{y^2}} \over {20}} = 1$$
B
$${{{x^2}} \over {40}} - {{{y^2}} \over {20}} = 1$$
C
$${{{x^2}} \over {40}} - {{{y^2}} \over {30}} = 1$$
D
$${{{x^2}} \over {30}} - {{{y^2}} \over {25}} = 1$$
2
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?
A
5 units
B
6 units
C
8 units
D
10 units
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the eccentricity of rectangular hyperbola?
A
$$\sqrt 2 $$
B
$$\sqrt 3 $$
C
$$\sqrt 5 $$
D
$$\sqrt 6 $$
4
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)
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