JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Application +4 | -1

a=\left[t^2-3 t+4\right]

and

b=[3+5 t]

, where [.] denotes the greatest integer function, then the latusrectum of the ellipse

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

t=\frac{3}{2}

View answer and explanation

Correct option: C

\frac{1}{5}

Option D (

\frac{1}{10}

) is correct because the latus rectum length is calculated using the greatest integer function and the given ellipse equation at t=3/2.

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