JEE Main 2020MathematicsEllipseTangent To EllipsemediumMCQ

JEE Main 2020Ellipse Question with Solution

From: JEE Main 2020 (Online) 7th January Evening Slot

Question

If 3x + 4y = 12 is a tangent to the ellipse
for some R, then the distance between the foci of the ellipse is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

3x + 4y = 12

y = is tangent to



c2 = a2m2 + b2



a2 = 16

Also e =

= =

Distance between focii = 2ae

=

=

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About this question

This is a previous-year question from JEE Main 2020, covering the Ellipse chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.