JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Application +4 | -1

The eccentricity of the ellipse with centre at the origin which meets the straight line

\frac{x}{7}+\frac{y}{2}=1

on the axis of

x

and the straight line

\frac{x}{3}-\frac{y}{5}=1

on the axis of

y

and whose axes lie along the axes of coordinates, is

View answer and explanation

Correct option: A

\frac{2 \sqrt{6}}{7}

Option A (

\frac{2 \sqrt{6}}{7}

) is correct because it is the eccentricity calculated from the given ellipse parameters after finding a and b.

More Questions from ELLIPSE

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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