online user counteronline user counter

MATHMAA

Only Search Your Site

17thKVS-JMO2014-Solutions6

17thKVS-JMO2014-Solutions6

 This page has question and solution of 17thKVS-JMO2014-Solutions6 in detail. Before starting this solution we have to know about "Ptolemy's Theorem".

Ptolemy's Theorem :

  

In Euclidean geometry, Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral . The theorem is named after the Greek astronomer and mathematician Ptolemy. 

If the quadrilateral is given with its four vertices A, B, C, and D in order, then the theorem states that:

  |AC|.|BD|= |AB|.|CD| + |BC|.|AD|.

 

This relation may be verbally expressed as follows:

"If a quadrilateral is inscribable in a circle then the product of the measures of its diagonals is equal to the sum of the products of the measures of the pairs of opposite sides".

For previous questions please click back button. To go to different papers related to KVS JMO questions and answers click on the link given below as " KVS Junior Mathematical Olympiad" . To view next solution click on link "Next" given below. Please send your opinion after reading them.If you like this , like the page which boost more creativity.

 

6 Q :   Suppose \(A_{1}A_{2}A_{3}........A_{n}\) is an n-sided regular polygon such that \(\frac{1}{A_{1}A_{2}}\) = \(\frac{1}{A_{1}A_{3}}\) + \(\frac{1}{A_{1}A_{4}}\) . Determine the number of sides of the polygon

Solution :



  


SHARE YOU ENORMOUS EFFORT AND SMART EXAMPLES HERE

!! NEED MORE HELP !!

SBI! Case Studies