Question:
<p>Find the focus of parabola with equation y<sup>2</sup>=100x.</p>
<p style="display:inline">(0, -25)</p>
<p style="display:inline">(-25, 0)</p>
<p style="display:inline">(0, 25)</p>
<p style="display:inline">(25, 0)</p>
Step-by-Step Solution
Key Concept: The focus of a standard parabola $y^2 = 4ax$ is determined by equating the coefficient of the linear term to $4a$ and identifying its coordinates as (a, 0).
<p>Comparing equation with <span class="math-tex">${y}^2=4 {ax}$</span>. <span class="math-tex">$4 a=100=>a=25$</span>.<br />
Focus is at <span class="math-tex">$(a, 0)$</span> i.e. <span class="math-tex">$(25,0)$</span>.</p>
Correct Answer: D