# QUADDo Maths

## Sunday, 12 January 2014

## Sunday, 22 December 2013

## Wednesday, 11 December 2013

## Sunday, 1 December 2013

## Tuesday, 12 November 2013

### formulas used in coordinate geometry

**Distance between two points**

Let P (x

_{1}, y_{1}) and Q (x_{2}, y_{2}) be the two points. We have to find PQ.

OM = x_{1}, PM = y_{1}= RNON = x_{2}, QN = y_{2}PR = MN = ON – OM= x_{2}– x_{1}QR = QN – RN = y_{2}– y_{1}By Pythagoras theoremPQ^{2}= PR^{2}+ QR^{2}= (x_{2}- x_{1})^{2}+ (y_{2}– y_{1})^{2}If x_{1}= 0, y_{1}= 0, x_{2}= x and y_{2}= yThen

**Section Formula**

Let P (x, y) divided a line AB such that AP : PB = m

_{1}: m_{2}.
Let coordinates of A are (x

_{1}, y_{1}) and B are (x_{2}, y_{2}).

It is obvious that

Taking,

SimilarityNote(i) if P is mid point of AB, then AP : PB = 1 : 1(ii) If m_{1}: m_{2}= k, then coordinates of P are

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