Parabola
Tangent to parabola
Grade 11
Question:
<p>Normals of parabola \(y^2 = 4x\) at P and Q meet at \(R(x_2, 0)\) and tangent at P and Q meet at \(T(x_1, 0)\). If length of tangent PT is \(4\sqrt{5}\), then \(x_2 =\)</p>
Step-by-Step Solution
Key Concept: Use the relationship between tangent length from external point and the parameters of the parabola.
<p>Given PT = \(4\sqrt{5}\), where P is on the parabola and T is the intersection of tangents. Using the tangent length formula and properties of parabola, we get \(x_2 = 6\).</p>
Correct Answer: q