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CGP EDU Academic Team
Published on: August 13, 2026
Circle drawn having it’s diameter equal to focal distance of any point lying on the parabola x 2 – 4x + 6y + 10 = 0, will touch a fixed line whose equation is -
Text Solution
Verified by ExpertsThe correct answer is:
B
x 2 – 4x + 6y + 10 = 0 ⇒ x 2 – 4x + 4 = –6 – 6y
⇒ (x – 2) 2 = –6 (y + 1)
Circle drawn on focal distance as diameter always touches the tangent drawn to parabola at vertex. Thus, circle will touch the line y + 1 = 0.
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