Related InterviewSolutions

• If a point C lies between two points A and B such that`A C=B C`, then prove that `A C=1/2A B`. Explain by drawing the figure.
• If A. B and C are three points on a line, and B lies between A and C then prove that `A B-B C=A C`.
• Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
• the number of dimension,a surface hasA. 1B. 2C. 3D. 0
• A pyramid is a solids figure, the base of which isA. only a triangleB. onley a squareC. only a rectangleD. any polygon
• The side faces of a pyarmid areA. trianglesB. squaresC. polygonsD. trapeziums
• Consider two ‘postulates’ given below:(i) Given any two distinct points 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’s postulates? Explain.
• The statements that are proved are called axioms.
• Read the following statements which are taken as axioms (i) If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal. (ii) If a transversal intersect two parallel lines, then alternate interior angles are equal. Is this system of axioms consistent ? Justify your answer.
• Read the following two statements which are taken as axiom: (i) If two lines intersect each other , then the vertically opposite angles are not equal. (ii) If a ray stands on a line , then the sum of two adjacent angles, so formed is equal to `180^(@)`. Is this system of axioms consistent ? Justify your answer.