Question

If the
equation 8 (x + 1)2 + (y – 1)2] = (x – y + 3)^2
represents a coinc. The equation of its latusrectum is​

Answer 1

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