Ellipse practice · Easy

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

Showing 391-392 of 392 questions

391 Easy

391 of 392

Application +4 | -1

If the eccentricities of the two ellipse

\frac{x^2}{169}+\frac{y^2}{25}=1

and

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

are equal, then the value

\frac{a}{b}

, is

View answer and explanation

Correct option: C

\frac{13}{5}

Option C (

\frac{13}{5}

) is correct because it is derived from equating the eccentricities of the two ellipses and solving for the ratio

\frac{a}{b}

392 Easy

392 of 392

Application +4 | -1

The equation of the normal to the ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

at the point

(a \cos \theta, b \sin \theta)

View answer and explanation

Correct option: C

\frac{a x}{\cos \theta}-\frac{b y}{\sin \theta}=a^2-b^2

Option C (

\frac{a x}{\cos \theta}-\frac{b y}{\sin \theta}=a^2-b^2

) is correct because it is the standard form equation of the normal to the ellipse at the given point.

Revision notes and key takeaways

Review ELLIPSE in your textbook or class notes, then use this set to check your understanding.

Showing 391-392 of 392 questions

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