find the equation of the comics whose focus is at (-1,-2) directix is the line x-2y+3=0 and eccentricity is 1
Answers
Answered by
0
Answer:
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answered by
0
Step-by-step explanation:
e=
2
1
4x−3y+2=0 directrix focus =(−1,0)
f=
(x+1)
2
+(y−0)
2
distance from (x,y) to the line 4x−3y+2=0
d=
∣
∣
∣
∣
∣
25
4x−3y+2
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
5
4x−3y+2
∣
∣
∣
∣
∣
e=
d
f
⇒
2
1
=
(4x−3y+2)
2
5
(x+1)
2
+(y−0)
2
2
1
=
(4x−3y)
2
+4+16×−12y
5(x
2
+2x+1+y
2
)
16x
2
+9y
2
−14xy+4+16x−12y=50x
2
+100x+50+50
34x
2
+41y
2
+24xy+34x+12y+46=0
Similar questions