Question:
<p>If the eccentricity of an ellipse be <span class="math-tex">\(\frac{1}{\sqrt{2}}\)</span>, then its latus rectum is equal to its</p>
<p style="display:inline">Semi-minor axis</p>
<p style="display:inline">Major axis</p>
<p style="display:inline">Minor axis</p>
<p style="display:inline">Semi-major axis</p>
Step-by-Step Solution
Key Concept: Relate the latus rectum formula $2b^2/a$ to the eccentricity equation $b^2 = a^2(1-e^2)$ to find the relationship between the ellipse's dimensions.
<p>Semi-major axis</p>
Correct Answer: D