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New Chord Progressive Theorem - Swaroop Dora

Hey genius minds, this is Swaroop Dora welcoming you to Mind Your Concept. I found a nice Theorem of chords of a circle-  New Chord Progressive Theorem New Chord Progressive Theorem Theorem : If in a circle 3 Chord origin from a common point and angle between them is given. Then the following relation holds Zsin(α+ß)=Xsinß+Ysinα New Chord Progressive Theorem proof Spacial Case For Chord Progressive Theorem If α and ß are given same then  Z=(x+y)/(2cosα).  Conclusion Hope you like this Theorem. Thank you for reading my new work. Share it with your friends and family. Important links Visit my Instagram page for fun and interesting math puzzles by Swaroop Dora  @MindYourConcept   This Theorem I have used in my proof  Ptolemy's Theorem
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Interesting and weird indefinite integral

Hey genius minds, this is Swaroop Dora welcoming you to Mind Your Concept. What is the integration of tan^(-1)(dx)? Integration tan-¹ (dx) Solution: Will be uploaded 1st june 2022
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Interesting geometry puzzle - Two regular polygon and a triangle

Hallo everyone I am Swaroop Dora welcoming you to Mind Your Concept. This question is very interesting. Please give this a try and comment your answer below. Question: As shown in figure in a regular hexagon of area 12 cm² two point on adjacent edges are chosen and a equilateral triangle is drawn on those point. Find the area of the red triangle which is form by joining one vertex of blue triangle and two vertex of hexagon? Note relative position of points are important! Solution: Our Solution: We will upload soon... Solutions sent to us: by  @ilarrosac from twitter by @vandyousefi from instagram @RonySarker71 from twitter Red triangle, move the Left most vertex to the centre of the hexagon, and we have the same area - 1/2 x base x height. That is an equilateral triangle which makes up a 1/6 of the hexagon. Area = 12/6 = 2. :) --- by @RAnForr784 from twitter
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Japan Flag Theorem- New Math Theorem

Theorem: Proof:
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Power of Chord Theorem - Mind Your Concept

Power of Chord Theorem Hey all, this is Swaroop Dora, welcoming you to Mind Your Concept. I have found a beautiful formula -  Power of Chord Theorem.  I have provided proof in my way, you can send your proof to me too. Power of Chord Theorem  - Mind Your Concept THEOREM STATEMENT : If in a circle two intersecting chords and angle between them are given the radius of the circle is guided by the following formula-  4R²sin² θ =(x-y)²+(w-z)²+4xysin² θ +2(x-y)(w-z)cos θ FOLLOW me on Instagram Twitter To never miss my puzzles and my works. Proof of Power of Chord Theorem:  In our given figure draw line l and m perpendicular to AB and CD . Now we find a quadrilateral OPRQ .  We will now find the length of sides of quadrilateral OPRQ . LET separate the quadrilateral from our circle to have a better imagination . In this quadrilateral OPRQ we know all side lengths (although we do need all side lengths in our calculations). Rather using any existing formu
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Beautiful triangle problem - Mind Your Concept

Question : In a triangle, two lines are drawn such that 3 blue angles are equal. If the area of the two Triangles given as 4 and 9. Find the area of the yellow quadrilateral? FOLLOW me on this platform for more of my puzzle and solution. Instagram Twitter   Brilliant  
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Interesting geometry problem (3 circle puzzle)- Mind Your Concept

Question : In the given figure centres of the three circles are marked. With the measurement given. Find the radius of the blue circle? Solution : Send us your solution to  mindyourconcept@gmail.com . We will post the solution tomorrow.
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