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If the equation of the parabola with vertex V ( 32,3 ) and the directrix x+2y=0 is x2+ y2- xy-30x-60y+225=0, then + + is equal to :
(4) 9
Axis directrix through V ( 32,3 ): slope 2 y=2x; it meets the directrix at (0,0).
[figure]
V is the mid-point of (0,0) and S S=(3,6)
PS2= ( x+2y 5 )2 5 [(x-3)2+(y-6)2 ]=(x+2y)2
4x2+y2-4xy-30x-60y+225=0
=4, =1, =4 + + =9
Answer: (4)
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