How to use Vectors and Carpet Theorem in Geometry 1?

Here is a video solution for a Problem based on using Vectors and Carpet Theorem in Geometry 1? This problem is helpful for Math Olympiad, ISI & CMI Entrance, and other math contests. Watch and Learn!

Here goes the question…

Given ABCD is a quadrilateral and P and Q are 2 points on AB and CD respectively, such that AP/AB = CQ/CD. Show that: in the figure below, the area of the green part = the white part.

Vectors and Carpet Theorem

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Carpet Strategy in Geometry | Watch and Learn

Here is a video solution for a Problem based on Carpet Strategy in Geometry. This problem is helpful for Math Olympiad, ISI & CMI Entrance, and other math contests. Watch and Learn!

Here goes the question…

Suppose ABCD is a square and X is a point on BC such that AX and DX are joined to form a triangle AXD. Similarly, there is a point Y on AB such that DY and CY are joined to form the triangle DYC. Compare the area of the triangles to the area of the square.

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Bijection Principle Problem | ISI Entrance TOMATO Obj 22

Here is a video solution for a Problem based on Bijection Principle. This is an Objective question 22 from TOMATO for ISI Entrance. Watch and Learn!

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Given that: x+y+z=10, where x, y and z are natural numbers. How many such solutions are possible for this equation?

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What is the Area of Quadrilateral? | AMC 12 2018 | Problem 13

Here is a video solution for a Problem based on finding the area of a quadrilateral. This question is from American Mathematics Competition, AMC 12, 2018. Watch and Learn!

Here goes the question…

Connect the centroids of the four triangles in a square. Can you find the area of the quadrilateral?

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Solving Weird Equations using Inequality | TOMATO Problem 78

Here is a video solution for ISI Entrance Number Theory Problems based on solving weird equations using Inequality. Watch and Learn!

Here goes the question…

Solve: 2 \cos ^{2}\left(x^{3}+x\right)=2^{x}+2^{-x}

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