What is the equation of the ellipse with foci (1,1) and (-1,-1) and length the of major axis
is 4.
Answers
Answer: 0
Step-by-step explanation:
Foci (−1,1) & (1,1) of ellipse.
Passes through (0,0)
Centre of ellipse =(0,1) midpoints of the line between focus
value b=1
ae=1
a
1−
a
2
b
2
⇒a
1−
a
2
1
=1⇒
a
2
−1
=1
a=
2
centre is shifted to (0,1).
(
2
)
2
(x−0)
2
+
1
(y−1)
2
=1
2
x
2
+
1
y
2
+1−2y
=1
x
2
+2y
2
+2−4y=2
x
2
+2y
2
−4y=0
Answer:
Step-by-step explanation:
sist b/w foci is 2ae = 2√2 i.e ae = √2
u gave that a = 4 then e = 1/2√2
we know that centre is mid pt of focii
then centre is (0,0) and b²= a²(1 - e²)
u get b² = 14
then equation of ellipse is x²/16 + y²/14 = 1
hope u get it n let me know.............