If e -3-2- its length of latusrectum isA- - length of major axisB- length of major axisC- 1-4 length of major axisD- Length of major axis

The correct option is C (length of major axis)L.L.R=2b^2/a ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Mathematics

Distance of a Point from Coordinate Axes

If e =√3/2, i...

Question

If $e = \frac{\sqrt{3}}{2}$ , its length of latusrectum is

(length of major axis)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(length of major axis)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(length of major axis)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Length of major axis

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C (length of major axis)
L.L.R= $\frac{2 b^{2}}{a}$

Suggest Corrections

Similar questions

Q. Find the equation of the ellipse in the following cases:
(i) eccentricity

e = \frac{1}{2}

and foci

(\pm 2, 0)

(ii) eccentricity

e = \frac{2}{3}

snd length of latus-rectum=5
(iii) eccentricity

e = \frac{1}{2}

and semi-major axis =4
(iv) eccentricity

e = \frac{1}{2}

and major axis =12
(v) The ellipse passes through (1,4) and (-6,1).
(vi) Vertices

(\pm 5, 0)

, foci

(\pm 4, 0)

(vii) Vertices

(0, \pm 13)

, foci

(0, \pm 5)

(viii) Vertices

(\pm 6, 0)

, foci

(\pm 4, 0)

(ix) Ends of major axis

(\pm 3, 0)

, ends of minor axis

(0, \pm 2)

(x) Ends of major axis

(0, \pm \sqrt{5})

, ends of minor axis

(\pm 1, 0)

(xi) Length of major axis 26, foci

(\pm 5, 0)

(xii) Length of minor axis 16, foci

(0, \pm 6)

(xiii) Foci

(\pm 3, 0)

, a=4

Q. Find the length of major axis of

\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1

Q. Assertion :If the equation of the ellipse is given to be

16 x^{2} + 25 y^{2} = 400

, then length of the major axis is

10

. Reason: Length of the major axis

=

2 b

Q. 15.Length of major axis 26, foci (+ 5, 0)

Q. If the length of the major axis of an ellipse is three times the length of the minor axis, then its eccentricity is

Join BYJU'S Learning Program

If e=√32, its length of latusrectum is

The correct option is C (length of major axis)L.L.R=2b2a

If $e = \frac{\sqrt{3}}{2}$ , its length of latusrectum is

The correct option is C (length of major axis)
L.L.R= $\frac{2 b^{2}}{a}$