1
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
2
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)
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the radius of the sphere $${x^2} + {y^2} + {z^2} - 6x + 8y - 10z + 1 = 0$$ ?
A
5
B
2
C
7
D
3
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The equation of the plane passing through the intersection of the planes 2x + y + 2z = 9, 4x $$-$$ 5y $$-$$ 4z = 1 and the point (3, 2, 1) is
A
10x $$-$$ 2y + 2z = 28
B
10x + 2y + 2z = 28
C
10x + 2y $$-$$ 2z = 28
D
10x $$-$$ 2y $$-$$ 2z = 24
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