Basics of Mathematics

Define ratio , proportion , direct and inverse variation Ratio: The relationship b/w two quantities are known as ration. a:b  is written as a/b Proportion: The relationship b/w two ratios are known as proportion. a:b=c:d is written as a/b=c/d etc. Direct variation/proportion: If we have two quantities and one quantity is going to increase then another quantity is also going to increase this type of variation is called direct variation. Example: ·         If...

Types of quadratic equation and their difference  Quadratic equation: An equation which having square of unknown (variable) quantity, but no higher power is known as quadratic equation. The standard form of quadratic equation in x variable is ax2+bx+c = o. whereas a is the coefficient of x2, b is the coefficient of x and c is the constant term.   a,b,c  all are real numbers and x is an known variable. For example Standard form example                       ...

what is perimeter and area Area: Area is defined as the indicated number of square unites needed to fill a region on a flat surface or simple figure.  For rectangle, the area is computed by multiplying its length and width. The rectangle has length of 4 units and width of 8 units, then the area of this rectangle is equal to 32 square units. It means that 32 squares are required to fill this region.  Perimeter: Perimeter is...

Discriminate  Discriminate means to make difference.but in mathematics we use discriminate formula to find the nature of the roots of quadratic equation without solving the quadratic equation. Discriminate formula D   =   b2 - 4ac where , D = Discriminate a,b and  are the coefficients c is content term of quadratic equation    Rules for nature of root of quadratic equation  If discriminate is zero (D = O) then the roots of this equation are real and equal. If discriminate is in...

Quadratic formula  it is a formula which is to be used to solve quadratic equation easily.we proved this formula from standard form of quadratic equation. if we solve standard form of quadratic equation by using completing square method then we easily prove the quadratic formula.   lets prove.  ...

Define Quadratic equation. An equation which have highest degree of variable x or y is square.in quadratic equation a,b and c are real numbers and a not equal to zero. standard form of quadratic equation . the standard form of quadratic equation is  ax2 + bx + c = 0 where a,b and c are coefficients or contents and x is known as variable(an unknown term) it is a standard form of quadratic equation in x  variable but if we written...

Define ratio?                                 Ratio is the relationship b/w two quantities. Define proportion?                                 Proportion is the Relationship b/w two Ratios. TYPES OF PROPORTION    There are two main types of proportion/variation.   1) Direct proportion/ variation 2)Inverse proportion/variation  Direct proportion/variation   A...