If a conic satisfying the differential equation xédy - dx = 2xy dxwhich passing through the point (1, 3). has the eccentricity e then e is less than
Answers
Answered by
0
Answer:
Correct option is
D
2
1
Let foci A=(−4,1)B=(4,1) and point be P=(2
13
,4)
Distance between foci is AB=2ae=
(4+4)
2
=8
AP+BP=2a
AP=
(4+2
13
)
2
+(4−1)
2
=
16+16
13
+52+9
=
77+16
13
=
64+13+2×8×
13
=
(8+
13
)
2
=8+
13
Similarly BP=
(4−2
13
)
2
+(4−1)
2
=
77−16
13
=8−
13
AP+BP=8+
13
+8−
13
=16
Therefore e=
AP+BP
AB
=
16
8
=
2
1
Similar questions