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Solved Examples
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DDD Are the points I, L, J, and G coplanar? What is the intersection of KJ¯ and plane IJGH?
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DDD What is the intersection of AEFB and CDEA? DDD View Solution
DDD 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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DDD If the m AB¯ is 3.2 cm, find the m AC¯. DDD View Solution
DDD If BD¯ DC¯, then which of the following statements is true?
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DDD Find the m PS¯ and m SR¯, if the m PQ¯ and m QR¯ are 2.3 m and 1.5 m respectively. DDD View Solution
DDD How many lines can be drawn in a plane passing through a given point?
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DDD 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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DDD 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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DDD What is the maximum number of points of intersection of two distinct lines in a plane? DDD View Solution
DDD 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. DDD View Solution
DDD 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. DDD
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DDD 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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DDD Which of the following points is not collinear with respect to the other points?
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DDD Which points are colinear in the figure shown? DDD View Solution
DDD Are the points I, L, J, and G coplanar? What is the intersection of FG¯ and plane IJGH?
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DDD A line in a plane separates the plane into
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DDD 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. DDD
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DDD A(1, 1) and B(4, 4) are 2 distinct points. How many lines can be drawn passing through both these two points? DDD View Solution
DDD What is the intersection of BFDC and AEDC? DDD View Solution
DDD 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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DDD 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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DDD Identify three collinear points in the figure shown.
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DDD 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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DDD If two planes intersect, then they intersect in a _____. DDD View Solution
DDD Which of the following points are non-collinear? DDD View Solution
DDD The points A(- 2, - 3), B(1, y) and C(4, 1) are collinear. Find y. DDD View Solution
DDD What is the least number of points needed to draw the figure?
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DDD 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. DDD
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DDD 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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DDD 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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DDD What are the possible number of intersections between two lines? DDD View Solution
DDD Four parallel lines are intersected by another four parallel lines. Find the number of points of intersection. DDD View Solution
DDD 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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DDD Points and lines that lie in the same plane are called
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DDD Find the number of regions into which two parallel lines divide a plane. DDD View Solution
DDD 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. DDD
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DDD Identify the number of planes and the number of line segments in the figure.
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DDD Where do the two planes intersect?
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DDD Identify which of the following can be best represented as a point. DDD View Solution
DDD 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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DDD Identify which of these can be best represented by a line. DDD View Solution
DDD Identify which of the following can be best represented by a plane. DDD View Solution
DDD 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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DDD Find the maximum number of possible names for the plane shown. DDD View Solution
DDD In how many ways can the line be represented?
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DDD 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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DDD 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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DDD 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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DDD What type of geometric intersection do you find in the given figure?
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DDD What kind of geometric intersection does the photograph resemble? DDD View Solution
DDD What kind of geometric intersection does the photograph indicate?
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DDD Name the two lines that intersect at point M.
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DDD Which of the following is true for the figure? DDD View Solution
DDD If the m AB¯ is 3.2 cm, find the m AC¯. DDD View Solution
DDD If BD¯ DC¯, then which of the following statements is true?
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DDD Find the m PS¯ and m SR¯, if the m PQ¯ and m QR¯ are 2.3 m and 1.5 m respectively. DDD View Solution