Let \( A B C \) be a triangle whose vertices are \( A(-5,5) \) and \( B(7,-1) \). If vertex \( C... VIDEO
Let \( A B C \) be a triangle whose vertices are \( A(-5,5) \) and \( B(7,-1) \). If vertex \( C \) has on a circle whose director circle has equation \( x^{2}+y^{2}=100 \), then locus of the orthocentre of triangle \( A B C \) is equal to
(a) \( x^{2}+y^{2}+4 x-8 x-30=0 \)
(b) \( x^{2}+y^{2}-4 x+8 y-30=0 \)
(c) \( x^{2}+y^{2}+4 x-8 y-30=0 \)
(d) \( x^{2}+y^{2}+4 x+8 y-30=0 \)
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