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January 23rd, 2009, 05:18 PM   #1
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THIS QUESTION IS DRIVING ME CRAZY.. PLZ HELP !!

CONSIDER THE POINTS 'P' SUCH THAT THE DISTANCE FROM P TO A(-1,5,3) IS TWICE THE DISTANCE FROM P TO B(6,2,-2).
SHOW THAT THE SET OF ALL SUCH POINTS IS A SPHERE, AND FIND ITS CENTER AND RADIUS.

THANK YOU
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January 24th, 2009, 05:59 AM   #2
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Re: THIS QUESTION IS DRIVING ME CRAZY.. PLZ HELP !!

1) Write equation for distance from P to A in terms of x,y,z
2) Write equation for distance from P to B in terms of x,y,z
3) Combine the equations knowing the first equation equals 2 times the second equation.
4) Reduce this equation to a form that is similar to the equation of a sphere and you will have your answer.

The key is reducing the equation in step 4 to squares of x,y and z independently.
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January 25th, 2009, 11:28 AM   #3
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Re: THIS QUESTION IS DRIVING ME CRAZY.. PLZ HELP !!

Thank you,, but steps 1 and 2 seem kind of vague... should i create the equation in terms of a parameter t,, or just by using the formula to calculate the distance, or position vector?
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January 25th, 2009, 12:33 PM   #4
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Use the standard formula for the distance between two points in terms of their coordinates.
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