JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Application +4 | -1

An ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1(a>b)

passes through the point

(-3,1)

and its eccentricity is

\sqrt{\frac{2}{5}}

. Then length of latus rectum is

View answer and explanation

Correct option: A

\frac{8}{5} \sqrt{6}

Option A (

\frac{8}{5} \sqrt{6}

) is correct because it is the calculated length of the latus rectum of the ellipse based on the given conditions.

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\frac{x^2}{144}+\frac{y^2}{81}=1

m

\mathrm{M}

\mathrm{mM}

P

\frac{{{x^2}}}{{25}} + \frac{{{y^2}}}{{16}} = 1

S

S'.

A

PSS',

A

A

B

(\sqrt{7}, 0)

(-\sqrt{7}, 0)

P

9 x^{2}+16 y^{2}=144

\mathrm{PA}+\mathrm{PB}

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

r

\frac{x^2}{25}+\frac{y^2}{16}=1

P

x=0

Q

R

Q

y=x

Q

R

N P

Q

P

O