1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
(0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is equidistant from the four points?
A
$$\left( {{{a + b + c} \over 3},{{a + b + c} \over 3},{{a + b + c} \over 3}} \right)$$
B
(a, b, c)
C
$$\left( {{a \over 2},{b \over 2},{c \over 2}} \right)$$
D
$$\left( {{a \over 3},{b \over 3},{c \over 3}} \right)$$
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The points P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2, $$-$$1, 6) are
A
vertices of a rhombus which is not a square
B
non-coplanar
C
collinear
D
coplanar but not collinear
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The line passing through the points (1, 2, $$-$$1) and (3, $$-$$1, 2) meets the yz-plane at which one of the following points?
A
$$\left( {0, - {7 \over 2},{5 \over 2}} \right)$$
B
$$\left( {0,{7 \over 2},{1 \over 2}} \right)$$
C
$$\left( {0, - {7 \over 2}, - {5 \over 2}} \right)$$
D
$$\left( {0,{7 \over 2}, - {5 \over 2}} \right)$$
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Under which one of the following conditions are the lines x = ay + b; z = cy + d and x = ey + f; z = gy + h perpendicular?
A
ae + cg $$-$$ 1 = 0
B
ae + bf $$-$$ 1 = 0
C
ae + cg + 1 = 0
D
ag + ce + 1 = 0
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