Q.

Focus (–1, 1),  e=12 directirx is x – y + 3 = 0 eq. of the ellipse is 


 

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a

9x2 + 2xy + 9y2 + 15x  15y + 10 = 0

b

 5x2 + 2xy + 5y2 + 10x  10y+5 = 0

c

7x2 + 2xy + 7y2 + 10x 10y + 7 = 0

d

3x2 + 2xy + 3y2 + 5x  5y + 5 = 0

answer is B.

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Detailed Solution

S=(-1, 1) e=12 L=x-y+3=0 Let P(x, y) be a point on hyperbola then SPPM=e  SP2=e2(PM)2 (x+1)2+(y-1)2=14x-y+31+12 8(x2+1+2x+y2+1-2y) =x2+y2+9-2xy-6y+6x 7x2+2xy+7y2+10x-10y+7=0

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