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This set of MCQs is based on the concepts and studies on introduction to three-dimensional geometry, defined as a solid figure or an object or shape having three dimensions, but also remember that, unlike two-dimensional shapes, three-dimensional shapes consist of thickness or depth.
The point (4, 0, 0) lie on _____________
The point (0, 2, 4) lie on _________
The point (4, 2, 0) lie on _________
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
The points (5, 2, 4), (6, -1, 2) and (8, -7, k) are collinear, if k is equal to
Find the ratio in which the YZ-plane divides the line segment formed by joining the points (– 2, 4, 7) and (3, – 5, 8).
The image of the point P(1, 3, 4) in the plane 2x – y + z = 0 is,
(-3, 5, 2)
(3, 5, 2)
(3, -5, 2)
(3, 5, -2)
Three planes x + y = 0, y + z = 0, and x + z = 0,
None of these
Meet in a line
Meet in a unique point
Meet taken two at a time in parallel lines
The coordinate of the 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,
(5/3, 7/3, 17/3)
(5, 7, 17)
(5/3, -7/3, 17/3)
(5/7, -7/3, -17/3)
The equation of the set of point P, the sum of whose distance from A(4, 0, 0) and B(-4, 0, 0) is equal to 10, is
9x² + 25y² + 25z² + 225 = 0
9x² + 25y² + 25z² – 225 = 0
9x² + 25y² – 25z² – 225 = 0
9x² – 25y² – 25z² – 225 = 0
The triangle formed by the points (0, 7, 10), (-1, 6, 6), (-4, 9, 6) is,
Equilateral
Isosceles
Right angled
Right angled isosceles
A plane is parallel XY-plane, so it is perpendicular to,
Z-axis
Y-axis
X-axis
None of these
The points (5, – 4, 2),(4,– 3, 1), (7, -6, 4) and (8, – 7, 5) are the vertices of,
A rectangle
A square
A parallelogram
None of these
