16x2−9y2+64x−90y=30516(x2+4x)−9(y2+10y)=30516(x2+4x+4)−9(y2+10y+25)=305+64−225
16(x+2)2−9(y+5)2=1449(x+2)2−16(y+5)2=1
h=-2 , k=5,
a=9=3b=16=4c=a2+b2=9+16=25=5
Centre: (-2,-5),
vertices: (-5,5) and (1,-5),
foci: (-7,-5) and (3,-5),
asymptotes:
y=−5±43(x+2)
Length of latus rectrum =a2b2
=32∗16=332=10.66
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