JEE Main 2024 (9 Apr, Shift 1) Maths Q13: Conic Sections

Question

Let a circle passing through $(2,0)$ have its centre at the point $(h,k)$. Let $(x_c,y_c)$ be the point of intersection of the lines $3x+5y=1$ and $(2+c)x+5c^2y=1$. If $h=\lim_{c	o1}x_c$ and $k=\lim_{c	o1}y_c$, then the equation of the circle is :

Accepted Answer

Option 1: $25x^2+25y^2-20x+2y-60=0$

Answer

$25x^2+25y^2-20x+2y-60=0$

Answer

$25x^2+25y^2-2x+2y-60=0$

Answer

$5x^2+5y^2-4x+2y-12=0$

Answer

$5x^2+5y^2-4x-2y-12=0$

JEE Main 9 April 2024, Shift 1, Maths Q13