document.write( "Question 718082: Find the equation of the line tangent to the given circle and passing through the given point
\n" ); document.write( "1. x^2+y^2= 26 (4,6) \n" ); document.write( "

Algebra.Com's Answer #440769 by Alan3354(69443) $\"\"$ $\"About$

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Find the equation of the line tangent to the given circle and passing through the given point
\n" ); document.write( "1. x^2+y^2= 26 (4,6)
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\n" ); document.write( "There are 2 tangent lines thru the point.
\n" ); document.write( "The point, the tangent points and the center make right triangles.
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\n" ); document.write( "Find the distance from the point to the center of the circle
\n" ); document.write( "d = sqrt(52) = the hypotenuse
\n" ); document.write( "The radius is one side of the triangle, length = sqrt(26)
\n" ); document.write( "Use Pythagoras to find the distance from the point to the
\n" ); document.write( "tangent points, = sqrt(26)
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\n" ); document.write( "The tangent points are the intersections of the given circle and a circle of radius sqrt(26) centered at (4,6)
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\n" ); document.write( "Find the 2 intersections.
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\n" ); document.write( "The 2 lines are the lines thru the tangent point and (4,6)
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\n" ); document.write( "email via the Thank You note for help, or to check your work.
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