JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Application +4 | -1

The length of major and minor axis of an ellipse are 10 and 8 respectively and its major axis along

y - axis

the equation of the ellipse referred to its centre as origin is

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because it represents the equation of the ellipse with the given major and minor axes along the y-axis.

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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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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

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y=x

Q

R

N P

Q

P

O