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P(@+beta), A(8,3), B(2,7)
we have,
PA= PB
PA²=PB²
(8-@)²+(3-beta)² = (2-@)²+(7-beta)²
64+@²+16@+9+beta²+6beta= 4+@²+4@+49+beta²+14 beta
= 16@-6beta+73 = 4@+14beta+53
= 16@-4@-14beta+6beta =53-73
= 12@-8beta = -23
= 12@= -23+8beta
Hence the relation between alpha and beta is
12@= -23+8beta
we have,
PA= PB
PA²=PB²
(8-@)²+(3-beta)² = (2-@)²+(7-beta)²
64+@²+16@+9+beta²+6beta= 4+@²+4@+49+beta²+14 beta
= 16@-6beta+73 = 4@+14beta+53
= 16@-4@-14beta+6beta =53-73
= 12@-8beta = -23
= 12@= -23+8beta
Hence the relation between alpha and beta is
12@= -23+8beta
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