Introduction to Three Dimensional Geometry

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.

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The point (4, 0, 0) lie on _____________

X-axis Y-axis Z-axis Y-Z plane

The point (0, 2, 4) lie on _________

X-Y plane Y-Z plane X-Z plane X-axis

The point (4, 2, 0) lie on _________

X-Y plane Y-Z plane X-Z plane X-axis

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

Straight line Plane Sphere None of these

The points (5, 2, 4), (6, -1, 2) and (8, -7, k) are collinear, if k is equal to

-2 2 3 -1

Find the ratio in which the YZ-plane divides the line segment formed by joining the points (– 2, 4, 7) and (3, – 5, 8).

externally 2 : 3 internally 2 : 3 internally 3 : 2 externally 3 : 2

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

Quiz/Test Summary
Title: Introduction to Three Dimensional Geometry
Questions: 13
Contributed by:
Steve