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Geometry Level 4

If the equation of the polar to the sphere x 2 + y 2 + z 2 = 1 x^2+y^2+z^2=1 with respect to the point ( 1 , 2 , 3 ) (1,2,3) is a x + b y + c z + d = 0 \large{ax+by+cz+d=0}

where a , b , c , d a,b,c,d are co prime integers.

Find a + b + c + d |a+b+c+d|


The answer is 5.

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1 solution

Aayush Patni
Apr 22, 2015

Just got lucky using xx1+yy1+zz1+c=0

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