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If for [- 3, 0 ], the points (x, y) = (3 ( + 3 ), 2 ( + 6 ) ) lie on xy + x + y + = 0, then 2 + 2 + 2 is equal to :
(1) 75
Let = + 3, so = x3 and + 6 = - 6.
y2 = ( - 6 ) = - 1 31 + 3 = 3 - 1 3 +
y2 = 3x3 - 1 3 + x3 = 3x - 3x + 3 3
xy + 3 3y = 2 3x - 6
xy - 2 3x + 3 3y + 6 = 0
= -2 3, = 3 3, = 6
2 + 2 + 2 = 12 + 27 + 36 = 75
Answer: (1)
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