JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

If a line

3 px + 2 \sqrt{1 - p^2} \,y=1

touches a fixed ellipse

E

for all

p \in [– 1, 1],

then equation of a directrix of the ellipse is:

View answer and explanation

Correct option: B

y=\frac{3\sqrt{5}}{10}

Option D (

y=\frac{{3\sqrt{{5}}}}{{10}}

) is correct because it is derived by finding the equation of the ellipse and then finding the equation of the directrix.

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O