NDA 2017 Paper 1 | Three Dimensional Geometry Question 20 | Mathematics

(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?

$$\left( {{{a + b + c} \over 3},{{a + b + c} \over 3},{{a + b + c} \over 3}} \right)$$

(a, b, c)

$$\left( {{a \over 2},{b \over 2},{c \over 2}} \right)$$

$$\left( {{a \over 3},{b \over 3},{c \over 3}} \right)$$

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

vertices of a rhombus which is not a square

non-coplanar

collinear

coplanar but not collinear

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?

$$\left( {0, - {7 \over 2},{5 \over 2}} \right)$$

$$\left( {0,{7 \over 2},{1 \over 2}} \right)$$

$$\left( {0, - {7 \over 2}, - {5 \over 2}} \right)$$

$$\left( {0,{7 \over 2}, - {5 \over 2}} \right)$$

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?

ae + cg $$-$$ 1 = 0

ae + bf $$-$$ 1 = 0

ae + cg + 1 = 0

ag + ce + 1 = 0

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