See image — AITS & Test Series Chemistry Question

💡 Solution & Explanation

Let foot of perpendicular from (3, –1) on the directrix be (x1, y1) So,   1 1 6 1 3 x 3 y 1 2 1 5       1 1 x 3 y 1 2 2 1 5      1 4 x 3 5   ; 1 2 y 1 5  1 11 x 5  ; 1 7 y 5  Now image of (x1, y1) about tangent is focus, which is (x2, y2) 2 2 11 7 11 7 2 2 x y 6 5 5 5 5 1 1 2 5               2 17 x 5  ; 2 6 7 1 y 5 5 5    Focus is 17 1 , 5 5       