1. Tardigrade
  2. Question
  3. Mathematics
  4. The locus of the centre of a circle which cuts orthogonally the parabola y2=4 x at (1,2) will pass through

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The locus of the centre of a circle which cuts orthogonally the parabola $y^{2}=4 x$ at $(1,2)$ will pass through

Conic Sections

Solution:

image
Tangent to the parabola $y^{2}=4 x$ at $(1,2)$ will be the locus, i.e.,
$2 y=2(x+1)$
or $y=x+1$