Consider the two 'postulates' gives below:
(i) Given any two distinct points A and B, there exists a third point C, which is 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's postulates? Explain.

Consider the two 'Postulates' given below. (i) Given any two distinct points A and B , there exists a third point C , which is between A and B .

Consider the two 'Postulates' given below. (ii) There exists at least three points that are not on the same line Do these postulates contain any undefined terms ? Do they follow from Euclid's postulates ? Explain.

In the adjacent figure m || n. A, B are any two points on m and n respectively. Let ‘C’ be an interior, point between the lines m and n. Find angleACB .

Three distinct points A, B and C are given in the 2 -dimensional coordinate plane such that the ratio of the distances of any one of them from the point (1,0) to the distance from the point(-1,0) is equal to (1)/(3) . The circumcentre of the trianglt A B C is at the point

The solution which boil at constant temperature like a pure liquid and possess same composition in liquid as well as vapour state are called azeotropes. The components of azetropes cannot be separated by fractional distillation. Only non-ideal solutions form azeotropes. Solutions with negative deviation form maximum boiling azeotrope and the solutions with positive deviation form minimum boiling azeotrope. The boiling point of an azeotrope is never equal to the boiling points of any of the components of the azeotrope. Answer the following question: The azeotropic solutions of two miscible liquids 100 mL of liquid A and 50 mL of liquid B are mixed to form 138 mL solution. It is

Atoms of eight elements A, B, C, D, E, F, G and H have the same number of electronic shells but different in their outermost shells. It was found that elements A and G combine to form an ionic compound which can also be extracted from sea water. Oxides of the elements A and B are basic in nature while those of E and F are acidic. The oxide of elements D is almost neutral. Answer the following questions based on the information given here in : (i) To which group or period of the periodic table do the listed elements belong ? (ii) Which one of the eight elements is likely to be a noble gas? (iii) Which one of the eight elements would have the largest atomic radius ? (iv) Which two elements amongst these are likely to be the non-metals? (v) Which one of these eight elements is likely to be a semi-metal or metalloid ?