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A triangle is formed by the tangents at the point \((2,2)\) on the curves \(π¦^2=2π₯\) and \(π₯^2+π¦^2=4π₯\), and the line \(π₯+π¦+2=0\). If \(π\) is the radius of its circumcircle, then \(π^2\) is equal to ____ .
A triangle is formed by the tangents at the point \((2,2)\) on the curves \(π¦^2=2π₯\) and \(π₯^2+π¦^2=4π₯\), and the line \(π₯+π¦+2=0\). If \(π\) is the radius of its circumcircle, then \(π^2\) is equal to ____ .
Updated On: Apr 2, 2024
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Correct Answer: 10
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The answer is 10.
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Concepts Used:
Coordinate Geometry
Coordinate geometry, also known as analytical geometry or Cartesian geometry, is a branch of mathematics that combines algebraic techniques with the principles of geometry. It provides a way to represent geometric figures and solve problems using algebraic equations and coordinate systems.
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher RenΓ© Descartes.
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher RenΓ© Descartes.
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