1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the acute angle between the lines represented by the equations y $$-$$ $$\sqrt 3 $$x $$-$$ 5 = 0 and $$\sqrt 3 $$y $$-$$ x + 6 =0 ?
A
30$$^\circ$$
B
45$$^\circ$$
C
60$$^\circ$$
D
75$$^\circ$$
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The points (a, b), (0, 0), ($$-$$a, $$-$$b) and (ab, b2) are
A
the vertices of a parallelogram
B
the vertices of a rectangle
C
the vertices of a square
D
collinear
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The angle between the lines x + y $$-$$ 3 = 0 and x $$-$$ y + 3 = 0 is $$\alpha$$ and the acute angle between the lines x $$-$$ $$\sqrt 3 $$y + 2$$\sqrt 3 $$ = 0 and $$\sqrt 3 $$x $$-$$ y + 1 = 0 is $$\beta$$. Which one of the following is correct?
A
$$\alpha$$ = $$\beta$$
B
$$\alpha$$ > $$\beta$$
C
$$\alpha$$ < $$\beta$$
D
$$\alpha$$ = 2$$\beta$$
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The distance of the point (1, 3) from the line 2x + 3y = 6, measured parallel to the line 4x + y = 4 is
A
$${5 \over {\sqrt {13} }}$$ units
B
$${3 \over {\sqrt {17} }}$$ units
C
$${ {\sqrt {17} }}$$ units
D
$${{\sqrt {17} } \over 2}$$ units
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