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Solved Examples
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e   Are the points I, L, J, and G coplanar? What is the intersection of KJ¯ and plane IJGH?
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e   What is the intersection of AEFB and CDEA?   e View Solution
e   What is the intersection of the plane ABGH with the plane ADEH? Are the points A, D, F, and G coplanar?
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e   If the m AB¯ is 3.2 cm, find the m AC¯.   e View Solution
e   If BD¯ DC¯, then which of the following statements is true?
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e   Find the m PS¯ and m SR¯, if the m PQ¯ and m QR¯ are 2.3 m and 1.5 m respectively.   e View Solution
e   How many lines can be drawn in a plane passing through a given point?
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e   There are 5 points marked on a plane, out of which 3 are collinear. How many lines can be drawn joining these points if a line shall contain at least 2 marked points?
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e   Choose the correct statement(s).
I. The intersection of a line and a plane is a point.
II. The intersection of two planes is a line.
III. Three points on the same plane are always collinear.
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e   What is the maximum number of points of intersection of two distinct lines in a plane?   e View Solution
e   There are two lines on a plane with 3 points marked on each line. Find the total number of additional lines that can be drawn joining these points if a line has to contain minimum two marked points.   e View Solution
e   Select the correct statement/statements.
1. A line is a set of points that extends in two opposite directions without end.
2. Lines of different sizes have different thickness.
3. A line is of finite length
4. A line is a straight one-dimensional figure having no thickness.   e
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e   Which of the following points is not collinear with respect to the other points?
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e   Select the correct stement/statements.
1. The ends of a line are points.
2. A straight line is a line which lies evenly with the points on itself.
3. A plane surface is a surface which lies evenly with the straight lines on itself.
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e   Are the points I, L, J, and G coplanar? What is the intersection of FG¯ and plane IJGH?
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e   A line in a plane separates the plane into
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e   Identify the correct statement / statements.
1. A space is the set of all points.
2. A line is a set of points that extends in two directions without end.
3. A point is a location in a plane with fixed dimensions.   e
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e   A(1, 1) and B(4, 4) are 2 distinct points. How many lines can be drawn passing through both these two points?   e View Solution
e   What is the intersection of BFDC and AEDC?   e View Solution
e   Choose the incorrect statement / statements.
1. A plane is a flat surface that extends in all directions without end.
2. A plane has two dimensions.
3. All the points and lines that lie in the same plane are coplanar.
4. Two planes intersect to form a plane.
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e   Select the correct statement / statements.
1. A plane has infinite thickness.
2. Two planes will never intersect.
3. A pyramid is a plane figure.
4. All points of a circle lie on a single plane where as all points of a sphere lie on different planes.
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e   If two planes intersect, then they intersect in a _____.   e View Solution
e   Which of the following points are non-collinear?   e View Solution
e   The points A(- 2, - 3), B(1, y) and C(4, 1) are collinear. Find y.   e View Solution
e   Choose the correct statement/statements.
1. Points F, A, L, I, C, G, E, O, B are coplanar.
2. Points G, E, O, B are collinear.
3. O, A, and B are coplanar.
4. Points F, A, L, I, C are coplanar.   e
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e   What is the intersection of the plane ABCD with the plane BCFG? Are the points A, D, F, and G coplanar?
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e   How many lines can be drawn connecting two points, if there are 5 points and no three of them are collinear?
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e   What are the possible number of intersections between two lines?   e View Solution
e   Four parallel lines are intersected by another four parallel lines. Find the number of points of intersection.   e View Solution
e   Which of the following statements best describes the points A, B, C?
I. The points A, B, C are collinear.
II. The points A, B, C are non-collinear.
III. The points A, B, C are non-coplanar.
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e   Which points are colinear in the figure shown?   e View Solution
e   Points and lines that lie in the same plane are called
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e   Select the correct statement / statements.
1. A point is that which has no part
2. A line is breadthless length
3. A surface is that which has length and breadth only
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e   Identify three collinear points in the figure shown.
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e   What is the least number of points needed to draw the figure?
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e   Find the number of regions into which two parallel lines divide a plane.   e View Solution
e   From the figure
1. Identify one set of collinear points.
2. Name any one plane.
3. Find the point of intersection of AD and BE.   e
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e   Identify the graph representing the coordinate plane containing the points A(- 2, - 3), B(1, - 1) and C(4, 1). The points A, B and C are collinear and D is a point that does not lie on the line.
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e   Identify the number of planes and the number of line segments in the figure.
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e   Where do the two planes intersect?
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e   Identify which of the following can be best represented as a point.   e View Solution
e   Identify which of these can be best represented by a line.   e View Solution
e   Identify which of the following can be best represented by a plane.   e View Solution
e   Refer the figure to answer the questions.
(i). Are the points B, C and D collinear?
(ii). Name any one plane.
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e   Find the maximum number of possible names for the plane shown.   e View Solution
e   In how many ways can the line be represented?
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e   Refer the figure to answer the questions.
(i). Are points K, E and F collinear?
(ii). Are points A, L, D and B coplanar?
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e   The points on the map represent the important places of Sicilia, Italy. Use the map to select the choices that are collinear.
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e   Use figure to answer the questions.
1. Name two planes that do not contain R.
2. Are the points R, Q and T coplanar?
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e   What type of geometric intersection do you find in the given figure?
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e   What kind of geometric intersection does the photograph resemble?   e View Solution
e   What kind of geometric intersection does the photograph indicate?
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e   Name the two lines that intersect at point M.
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e   Which of the following is true for the figure?   e View Solution
e   If the m AB¯ is 3.2 cm, find the m AC¯.   e View Solution
e   If BD¯ DC¯, then which of the following statements is true?
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e   Find the m PS¯ and m SR¯, if the m PQ¯ and m QR¯ are 2.3 m and 1.5 m respectively.   e View Solution