Ellipse
Triangle formed by ellipse points
Grade 11
Question:
<p>The orthocentre of the triangle PAB is:</p>
<p>(a) \(\left(\frac{8}{5}, \frac{8}{7}\right)\)</p>
<p>(b) \(\left(\frac{7}{5}, \frac{25}{8}\right)\)</p>
<p>(c) \(\left(\frac{11}{5}, \frac{8}{5}\right)\)</p>
<p>(d) \(\left(\frac{8}{25}, \frac{7}{25}\right)\)</p>
Step-by-Step Solution
Key Concept: Find the orthocentre of triangle PAB using properties of perpendicular lines from vertices to opposite sides.
<p>The correct answer is (c) \(\left(\frac{11}{5}, \frac{8}{5}\right)\)</p>
Correct Answer: c