Trained Graduate and Post Graduate Maths Teacher Interview Questions and Answers

Euclid's division lemma states that given two positive integers a and b, there exist unique integers q and r such that a = bq + r, where 0 <= r < b.

• Euclid's division lemma is used in number theory to express any positive integer as a multiple of another integer plus a remainder.

• It is often used in proving properties of integers, such as the existence of greatest common divisors.

• For example, if a = 17 and b = 5, then using Euclid's division lemma, we can write 17 = 5*3 + 2, wh...read more

A pairabola is a type of conic section that is formed by the intersection of a plane with a double cone.

• A pairabola can be classified as an ellipse, hyperbola, or parabola depending on the angle of the intersecting plane with the axis of the cone.

• The pairabola is symmetric about its axis and has certain properties unique to conic sections.

• Examples of pairabolas include circles, ellipses, hyperbolas, and parabolas.