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Verified answer
Lingkaranx² + y² + 12x - 2y + 27 = 0
(x + 6)² + (y - 1)² = -27 + 6² + 1²
(x + 6)² + (y - 1)² = 10 ✓
titik (-7,4)
(x + 6)² + (y - 1)²
(-7 + 6)² + (4 - 1)²
= (-1)² + 3²
= 1 + 3
= 10 ✓
Kesimpulan :
titik (-7,4) terletak pd lingkaran.
x^2 + y^2 + 12x - 2y + 27 = 0
x + 6 (^2) + y - 1 (^2) = - 27 + 6^2 + 1^2
( x + 6 )^2 + ( y - 1 )^2 = - 27 + 36 + 1
( x + 6 )^2 + ( y - 1 )^2 = 10
jadi titiknya ( x = -7 dan y = 4 )
( x + 6 ) ^2 + ( y - 1 ) ^2
( -7 + 6 ) ^2 + ( 4 - 1 ) ^2
( -1)^2 + (3)^2
1 + 9 = 10