﻿ Find the equation of the ellipse referred to its centre whose minor axis is equal to the distance between the foci and whose latus rectum is 10.   : Kaysons Education

# Find The Equation Of The Ellipse Referred To Its Centre Whose Minor Axis Is Equal To The Distance Between The Foci And Whose Latus Rectum Is 10.

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## Question

### Solution

Correct option is

Let the equation of the ellipse is

Then the foci are S(ae, 0) and S’(–ae, 0) length of minor axisBB’ = 2b and length of latus rectum

∴ According to the question

BB’ = SS’

and,

also we have

Putting the value of b from equation (i) in equation (ii), we have

From equation (i), we have

From equation (ii),

Putting the values of a and b in , the equation of required ellipse is

.

#### SIMILAR QUESTIONS

Q1

To find the equation of an ellipse from the definition that ellipse is the locus of a point which moves such that the sum of its distances from two fixed points is constant with the fixed points as foci.

Q2

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Q3

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Q4

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Q5

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Q6

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Q7

For what value of λ dose the line y = x + λ touches the ellipse

9x2 + 16y2 = 144.

Q8

Find the equations of the tangents to the ellipse  which are perpendicular to the line y + 2x = 4.

Q9

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Q10

Find the locus of the points of the intersection of tangents to ellipse  which make an angle θ.