JEE Main 2022 (27 Jun, Shift 2) Maths Q12: Conic Sections

Question

The set of values of $k$, for which the circle $C: 4x^2+4y^2-12x+8y+k=0$ lies inside the fourth quadrant and the point $\left(1,-\frac{1}{3}\right)$ lies on or inside the circle $C$, is

Accepted Answer

Option 4: $\left(9,\frac{92}{9}\right]$

Answer

an empty set

Answer

$\left(6,\frac{65}{9}\right]$

Answer

$\left[\frac{80}{9},10\right)$

Answer

$\left(9,\frac{92}{9}\right]$

JEE Main 27 June 2022, Shift 2, Maths Q12