Parabola
Parabola
nta_abhyas_2025
Grade 11
Question:
The radius of circle touching the parabola $y^2 = 8x$ at $(2,4)$ and passing through $(0,4)$, is
1 unit
2 units
\sqrt{2} units
\sqrt{3} units
Step-by-Step Solution
Key Concept: Distance calculations on parabolas often involve the focal parameter and parametric coordinates.
Based on the parabola properties and the given configuration, the distance is calculated using the focal parameter and the geometric relationship between the points on the parabola.
Correct Answer: √2