हिंदी

How Many Planes Can Be Made to Pass Through a Line and a Point Not on the Line? - Mathematics

Advertisements
Advertisements

प्रश्न

How many planes can be made to pass through a line and a point not on the line?

संक्षेप में उत्तर
Advertisements

उत्तर

Given a line and a distinct point not lying on the line, only a single plane can be drawn through both of them as there can be only plane which can accommodate both the line and the point together.

Let us take a line l and a point A, as we can see there can be only plane which pass through both of them.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Introduction to Euclid’s Geometry - Exercise 9.2 [पृष्ठ ९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
अध्याय 9 Introduction to Euclid’s Geometry
Exercise 9.2 | Q 10 | पृष्ठ ९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?

square


Consider two ‘postulates’ given below:-

  1. Given any two distinct points A and B, there exists a third point C which is in between A and B.
  2. 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.


Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)


Euclid divided his famous treatise “The Elements” into ______.


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 ∠ABC = ∠ACB, ∠3 = ∠4. Show that ∠1 = ∠2.


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 AB = BC, M is the mid-point of AB and N is the mid-point of BC. Show that AM = NC.


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.

If two circles are equal, then their radii are equal.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×