If the
equation 8 (x + 1)2 + (y – 1)2] = (x – y + 3)^2
represents a coinc. The equation of its latusrectum is
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Step-by-step explanation:
ANSWER
136(x
2
+y
2
)=(5x+3y+7)
2
⇒(x−0)
2
+(y−0)
2
=
136
1
(5x+3y+7)
2
⇒(x−0)
2
+(y−0)
2
=(
2
1
)
2
(
34
5x+3y+7
)
2
From the above form, we get focus of the conic has coordinates (0,0), and directrix has equation 5x+3y+7=0 and eccentricity e=
2
1
Distance between focus and directrix =
34
7
Length of latus rectum=2
a
b
2
=2×e× distance bet. focus and directrix=2×
2
1
×
34
7
=
34
7
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