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प्रश्न
In how many points a line, not in a plane, can intersect the plane?
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उत्तर
A line which is not present in the plane can intersect the plane at only one single point.
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संबंधित प्रश्न
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- 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’s postulates? Explain.
If a point C lies between two points A and B such that AC = BC, then prove that AC = `1/2` AB. Explain by drawing the figure.
In how many points two distinct planes can intersect?
A pyramid is a solid figure, the base of which is ______.
In ancient India, the shapes of altars used for household rituals were ______.
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AC = DC, CB = CE. Show that AB = DE.
The following statement is true or false? Give reason for your answer.
There are an infinite number of lines which pass through two distinct points.
The following statement is true or false? Give reason for your answer.
A terminated line can be produced indefinitely on both the sides.
