Introduction to Three Dimensional Geometry

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Question

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Question 1 : The cartesian equation of the line is 3x + 1 = 6y – 2 = 1 – z then its direction ratio are
1. 1/3, 1/6, 1
2. -1/3, 1/6, 1
3. 1/3, -1/6, 1
4. 1/3, 1/6, -1
Answer
8071

Question 2 : The image of the point P(1, 3, 4) in the plane 2x – y + z = 0 is
1. (-3, 5, 2)
2. (3, 5, 2)
3. (3, -5, 2)
4. (3, 5, -2)
Answer
8072

Question 3 : Three planes x + y = 0, y + z = 0, and x + z = 0
1. meet in a unique point
2. meet in a line
3. meet taken two at a time in parallel lines
4. none of these
Answer
8073

Question 4 : The coordinate of foot of perpendicular drawn from the point A(1, 0, 3) to the join of the point B(4, 7, 1) and C(3, 5, 3) are
1. (5, 7, 17)
2. (5/3, 7/3, 17/3)
3. (5/3, -7/3, 17/3)
4. (5/7, -7/3, -17/3)
Answer
8074

Question 5 : The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a
1. Plane
2. Sphere
3. Straight line
4. None of these
Answer
8075