Parabola
Tangent to parabola
Grade 11
Question:
<p>The two common tangents can be drawn to both circle and parabola from external point whose coordinates are:</p>
<p>(a) \(\left(\frac{-4}{15 - 1}, 0\right)\)</p>
<p>(b) \(\left(\frac{-4}{17 + 1}, 0\right)\)</p>
<p>(c) \(\left(\frac{-4}{17 - 1}, 0\right)\)</p>
<p>(d) \(\left(\frac{-4}{15 + 1}, 0\right)\)</p>
Step-by-Step Solution
Key Concept: Find the external point by using the condition that common tangents exist to both the circle and parabola from that point.
<p>Solution not provided in text. Based on comprehension (5): \(5A = 4\) gives the focus at \((4, 0)\). The external point from which two common tangents can be drawn is determined by the condition that tangents exist to both the circle and parabola.</p>
Correct Answer: C