1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A straight line with direction cosines <0, 1, 0> is
A
parallel to X-axis
B
parallel to Y-axis
C
parallel to Z-axis
D
equally inclined to all the axes
2
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
$$\left( {{a \over 3},{b \over 3},{c \over 3}} \right)$$
3
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
4
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
$$\left( {0,{7 \over 2}, - {5 \over 2}} \right)$$
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