JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Application +4 | -1

A circle has the same centre as an ellipse & passes through the focii

F_1

F_2

of the ellipse, such that the two curves intersect at 4 points. Let '

P

' be any one of their points of intersection. If the major axis of the ellipse is

17

& the area of the triangle

P F_1 F_2

is 30 , then the distance between the focii is :

View answer and explanation

Correct option: C

Option C (13) is correct because it uses the properties of the ellipse and the area of the triangle to find the distance between the foci.

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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)

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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