1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let Q be the image of the point P($$-$$2, 1, $$-$$5) in the plane 3x $$-$$ 2y + 2z + 1 = 0.
Consider the following statements.

I. The coordinates of Q are (4, $$-$$3, $$-$$1).

II. PQ is the length more than 8 units.

III. The point (1, $$-$$1, $$-$$3) is the mid-point of the line segment PQ and lies on the given plane.

which of the above statements are correct?
A
I and II
B
II and III
C
I and III
D
I, II and III
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let Q be the image of the point P($$-$$2, 1, $$-$$5) in the plane 3x $$-$$ 2y + 2z + 1 = 0.
Consider the following statements.

I. The direction ratios of the segment PQ are <3, $$-$$2, 2>

II. The sum of the squares of direction cosines of the line segment PQ is unity.

Which of the above statements is/are correct?
A
I only
B
II only
C
Both I and II
D
Neither I nor II
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A line L passes through the point P(5, $$-$$6, 7) and is parallel to the planes x + y + z = 1 and 2x $$-$$ y $$-$$ 2z = 3.
What are the direction ratios of the line of intersection of the given planes?
A
< 1, 4, 3 >
B
< $$-$$ 1, $$-$$ 4, 3 >
C
< 1, $$-$$4, 3 >
D
< 1, $$-$$4, $$-$$3 >
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A line L passes through the point P(5, $$-$$6, 7) and is parallel to the planes x + y + z = 1 and 2x $$-$$ y $$-$$ 2z = 3.
What is the equation of the line L ?
A
$${{x - 5} \over { - 1}} = {{y + 6} \over 4} = {{z - 7} \over { - 3}}$$
B
$${{x + 5} \over { - 1}} = {{y - 6} \over 4} = {{z + 7} \over { - 3}}$$
C
$${{x - 5} \over { - 1}} = {{y + 6} \over { - 4}} = {{z - 7} \over 3}$$
D
$${{x - 5} \over { - 1}} = {{y + 6} \over { - 4}} = {{z - 7} \over { - 3}}$$
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