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What is a point? 

Important Questions on Introduction to Euclid's Geometry

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In the adjoining figure, name :

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Three concurrent lines and their points of intersection.

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Two distinct points in a plane determine _______ line(s).
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Fill in the blanks.
( i) Two lines in a plane not having any point common are called P lines.
( ii) The edges of a surface are Q .
( iii) Two distinct planes can intersect at R points.
( iv) S planes can pass through two distinct points.
         P           Q             R                         S
(A) Parallel    lines         Infinite              infinite
(B) Parallel    planes          one                 one
(C) Perpendicular  lines    one          zero
(D) Perpendicular  planes   infinite   infinite
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If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of the angles is ______ two right angles.
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State ‘T’ for true and ‘F’ for false:
( i) ‘There are infinite points on a line’ is an Euclidean postulate.
( ii) Only one plane passes through three non-collinear points.
( iii) Boundaries of solids are surfaces.
     (i) (ii) (iii)
(A) F  F  F
(B) T  T  F
(C) T  F  T
(D) F  T  T
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Consider two ‘postulates' given below:

(i) Given any two distinct point A and B, there exists a third point C which is in between A and B.

(ii) There exist at least three points that are not on the same line.

Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid postulates? Explain.

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Which of the following options has one fixed end point and can be extended in the other direction indefinitely?