JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

If the lengths of major and semi-minor axes of an ellipse are 4 and

\sqrt 3

and their corresponding equations are

y - 5 = 0

and

x + 3 = 0,

then the equation of the ellipse is

View answer and explanation

Correct option: A

3{x^2} + 4{y^2} + 18x - 40y + 115 = 0

Option A (

3{x^2} + 4{y^2} + 18x - 40y + 115 = 0

) is correct because it represents the equation of the ellipse with given major and semi-minor axes and center coordinates.

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