Ayush Agarwal Maths

Monomial  - Polynomial having one term.  Binomial  - Polynomial having two terms.  Trinomial  - Polynomial having three terms.  Zero Polynomial  - Polynomial having all its coefficient zero.  Constant Polynomial  - A polynomial having only a single term ( of real number).  Acute angle -  An angle whose measure is less than 90° is called a acute angle.  Adjacent angles  - Two angles are called adjacent angles if :-  i) they have the same vertex.  ii) they have a common arm, and  iii) Uncommon arms and an either side of the common arm.  Arithmatic Mean -  The arithmatic mean of a set of Observations is equal to their sum divided by the total number of ovservations.  Axioms -  The basic facts which are taken for granted, without proof are called axioms.  Bi -  Quadratic polynomial -  A fourth degree polynomial is called a bi-quadratic polynomial.  Chord-  A line segment joining any two points on a circle is called a chord of the circle. Circle-  A circle is a collection of tho

                       Quadrilaterals ° What is quadrilateral?      A plane, closed figure bounded by four line segments is called quadrilateral. There are different types of quadrilaterals, they are trapezium, parallelogram, rhombus, rectangle, square.  • What is the sum of all the interior angles of a quadrilateral?  The sum of all the interior angles of a quadrilateral is 360 degree.              Important Formulae                      Special quadrilaterals Parallelogram - A parallelogram is a quadrilateral with both pairs of opposite sides parallel.  Important points - Opposite sides of a parallelogram are equal Opposite angles of a parallelogram are equal The diagonals of a parallelogram bisect one another.  Each diagonal divides it into two congruent triangles.  The opposite sides and angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.  Rectangle - a parallelogram in which all four angles are right angles is a rectangle.  Important points - 

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              POLYNOMIALS Monomial - Polynomial having one term.  Binomial - Polynomial having two terms.  Trinomial - Polynomial having three terms Zero Polynomial - Polynomial having all its coefficient zero.  Constant Polynomial - A polynomial having only a single term ( of real number).  Standard form - Powers of x are either in increasing or decreasing order.  1. A parallelogram whose all sides are equal is called a rhombus.  2. A quadrilateral is called a square if all of its sides are equal and all of its angles are equal.  3. A quadrilateral which has one pair of opposite sides parallel is called a trapezium.  4. A square is a rectangle.  5. A square is a rhombus.  6. A parallelogram is a trapezium but converse is not true.  7. A rectangle ( Or rhombus) is not a square.                   Thanks for visiting