Image of a circle in a line

JEE Main Mathematics · Circle · 4 questions, latest first

• Let circle C be the image of x^2+y^2-2 x+4 y-4=0 in the line 2 x-3 y+5=0 and A be the point on C such that OA is parallel to x…202524 January, Shift 1 · Q10
• Consider a circle C_1: x^2+y^2-4 x-2 y=α-5. Let its mirror image in the line y=2 x+1 be another circle C_2: 5 x^2+5 y^2-10 f x-10…20238 April, Shift 1 · Q27
• Let a circle C_1 be obtained on rolling the circle x^2+y^2-4 x-6 y+11=0 upwards 4 units on the tangent T to it at the point…202331 January, Shift 1 · Q73
• The points of intersection of the line a x+b y=0,(a ≠ b) and the circle x^2+y^2-2 x=0 are A(α, 0) and B(1, β). The image of the…202325 January, Shift 1 · Q74