QJEEM25Ma6688: JEE Main 2025 Mathematics - Class 11 JEEM25Ma6688 Solution: The focus of the parabola is the centre of the circle of radius …

The focus of the parabola $y^2=4 x+16$ is the centre of the circle $C$ of radius 5 . If the values of $\lambda$ , for which C passes through the point of intersection of the lines $3 x-y=0$ and $x+\lambda y=4$ , are $\lambda_1$ and \lambda_2, \lambda_1<\lambda_2 , then $12 \lambda_1+29 \lambda_2$ is equal to ________ .