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प्रश्न
In how many points two distinct planes can intersect?
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उत्तर
Two distinct planes can intersect at only one unique line, which is common to both of them and one line is made up of infinite points. Therefore, two distinct planes can intersect at infinite points.
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संबंधित प्रश्न
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
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.
In how many points two distinct lines can intersect?
The number of dimension, a point has ______.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
Thales belongs to the country ______.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AC = DC, CB = CE. Show that AB = DE.
In the following figure BM = BN, M is the mid-point of AB and N is the mid-point of BC. Show that AB = BC.
Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
