35.
Write the vertices of the solution og
Find the equation of ellipse with Foci (+ 3,0) and
passing through (4,1).
Also write down its: (i) vertices, (ii) eccentricity,
(iii) length of latus rectum.
Answers
Answer:
MATHS
Find the length of major axis, the eccentricity the latus rectum, the coordinate of the centre, the foci, the vertices and the equation of the directrices of following ellipse:
16
x
2
+
9
y
2
=1.
November 22, 2019avatar
Hetasvi Kuwar
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VIDEO EXPLANATION
ANSWER
Given equation of ellipse is
16
x
2
+
9
y
2
=1
On comparing the given equation with
a
2
x
2
+
b
2
y
2
=1, we get
a=4,b=3
Since, $$a>b$$ ,therefore the major axis is along the x-axis while the minor axis is along the y-axis.
Length of major axis =2a=8
Length of minor axis =2b=6
Eccentricity $$\displaystyle e = \sqrt{1-\frac{b^{2}}{a^{2}}} = \sqrt{\frac{16 -9}{16}}= =\cfrac{\sqrt{7}}{4}$$
Coordinates of the foci are (
7
,0) and (−
7
,0)
The coordinates of the vertices are (4,0) and (−4,0)
Length of latus rectum =
a
2b
2
=
4
2×9
=
2
9
Answer:
sorry I don't know this answer