Home Maths Conic Sections JEE Main 2021 - ( Ellipse ) Let E be an ellipse whose axes are parallel …
Maths Conic Sections JEE Main 2021 - ( Ellipse ) Numeric Response
Published on: August 13, 2026

Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its center at (3,−4), one focus at (4,−4) and one vertex at (5,−4). If mx − y = 4, m > 0 is a tangent to the ellipse E, then the value of 5 m 2 is equal to

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The correct answer is:
3

(3)

Given C(3,−4), S(4,−4)

and A(5,−4)

Hence, a = 2&ae = 1

So,

Intersecting with given tangent.

Now, D = 0 (as it is tangent)

So, 5 m 2 = 3

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