1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the points (x, y, $$-$$3), (2, 0, $$-$$1) and C (4, 2, 3) lie on a straight line, then what are the values of x and y respectively?
A
1, $$-$$1
B
$$-$$1, 1
C
0, 2
D
3, 4
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A straight line passes through the point (1, 1, 1) makes an angle 60$$^\circ$$ with the positive direction of Z-axis, and the cosine of the angles made by it with the positive directions of the Y-axis and the X-axis are in the ratio $$\sqrt 3 $$ : 1. What is the acute angle between the two possible positions of the line?
A
90$$^\circ$$
B
60$$^\circ$$
C
45$$^\circ$$
D
30$$^\circ$$
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A point on a line has coordinates (p + 1, p $$-$$ 3, $$\sqrt 2 $$p) where p is any real number. What are the direction cosines of the line?
A
$${1 \over 2},{1 \over 2},{1 \over {\sqrt 2 }}$$
B
$${1 \over {\sqrt 2 }},{1 \over 2},{1 \over 2}$$
C
$${1 \over {\sqrt 2 }},{1 \over 2}, - {1 \over 2}$$
D
Cannot be determined due to insufficient data
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The centroid of the triangle with vertices A(2, $$-$$3, 3), B(5, $$-$$3, $$-$$4) and C(2, $$-$$3, $$-$$2) is the point
A
($$-$$3, 3, $$-$$1)
B
(3, $$-$$3, $$-$$1)
C
(3, 1, $$-$$3)
D
($$-$$3, $$-$$1, $$-$$3)
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