`P ,Q ,` and `R` are the feet of the normals drawn to a parabola `(y-3)^2=8(x-2)` . A circle cuts the above parabola at points `P ,Q ,R ,a n dS` . The

Question

`P ,Q ,` and `R` are the feet of the normals drawn to a parabola `(y-3)^2=8(x-2)` . A circle cuts the above parabola at points `P ,Q ,R ,a n dS` . The

`P ,Q ,` and `R` are the feet of the normals drawn to a parabola `(y-3)^2=8(x-2)` . A circle cuts the above parabola at points `P ,Q ,R ,a n dS` . Then this circle always passes through the point. `(2,3)` (b) `(3,2)` (c) `(0,3)` (d) `(2,0)`
A. (2,3)
B. (3,2)
C. (0,3)
D. (2,0)

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
(1) A circle through three co-normal point of a parabola always passes through the vertex of the parabola. Hence, the circle through P,Q,R and S out of which P,Q and R are co-normals points will always pass through vertex (2,3) of the parabola.

5 views Answered 2023-02-05 15:29