1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the distance of the point (2, 3, 4) from the plane 3x $$-$$ 6y + 2z + 11 = 0 ?
A
1 unit
B
2 units
C
3 units
D
4 units
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Coordinates of the points O, P, Q and R respectively (0, 0, 0), (4, 6, 2m), (2, 0, 2n) and (2, 4, 6) L, M, N and K OR, OP, PQ and QR respectively such that LMNK is a parallelogram whose two adjacent sides LK and LM are each of length $$\sqrt 2 $$ ?
A
6, 2
B
1, 3
C
3, 1
D
None of these
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The line $${{x - 1} \over 2} = {{y - 2} \over 3} = {{z - 3} \over 4}$$ is given by
A
$$x + y + z = 6,x + 2y - 3z = - 4$$
B
$$x + 2y - 2x = - 1,4x + 4y - 5z - 3 = 0$$
C
$$3x + 2y - 3z = 0,3x - 6y + 3z = - 2$$
D
$$3x + 2y - 3z = - 2,3x - 6y + 3z = 0$$
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements

1. The angle between the planes 2x $$-$$ y + z = 1 and x + y + 2z = 3 is $${\pi \over 3}$$

2. The distance between the planes 6x $$-$$ 3y + 6z + 2 = 0 and 2x $$-$$ y + 2z + 4 = 0 is $${{10} \over 9}$$

Which of the above statement is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
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