JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Application +4 | -1

On the ellipse

\frac{x^2}{4}+\frac{y^2}{9}=1

, one of the points of which the normals are parallel to the line

2 x-y=1

, is

View answer and explanation

Correct option: C

\left(\frac{2}{\sqrt{10}}, \frac{9}{\sqrt{10}}\right)

Option C (

\left(\frac{2}{\sqrt{10}}, \frac{9}{\sqrt{10}}\right)

) is correct because it represents a point on the ellipse where the normal's slope matches that of the given line.

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O