Question

Let 2x + 3y – k = 0 is a curve which intersects axis at points A and B. A circle is drawn through A and B as diameter has equation x² + y² – 3x – 2y = 0. If the latus rectum of ellipse x² + 9y² = k² is l then 3l is equal to _____.

Answer 1

Correct answer: 4

Equation of circle with AB as diameter

\(3l = 3 \times \frac 43 = 4\)