JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Application +4 | -1

The parametric representation of a point of the ellipse whose foci are (3, 0) and

\left( { - 1,0} \right)

and eccentricity

\frac{2}{3}

View answer and explanation

Correct option: D

(1 + 3\mathrm{cos \theta },\sqrt 5 \sin \mathrm{\theta })

The correct answer is D (

(1 + 3\mathrm{cos \theta },\sqrt 5 \sin \mathrm{\theta })

) because it represents the parametric coordinates of a point on the ellipse with the given foci and eccentricity.

More Questions from ELLIPSE

Practice All Chapter MCQs →

\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