Let P be point of intersection of common tangents to parabola y² = 12x and hyperbola 8x^2 - y^2 = 8

Let P be the point of intersection of the common tangents to the parabola y² = 12x and the hyperbola 8x^2 - y^2 = 8. If S and S' denote the foci of the hyperbola where S lies on the positive x-axis then P divides SS' in a ratio . @easymath4jee #iit #ujjwalkaushik #ujjwaljee #ujjwal #conics #conicsection #conicsections #circle #circlejee #circleclass10 #conic_section #conic #conicsections #diameter #equationofcircle #circle #radius #conics #ellipse #ellipsis #parabola #hyperbole #eccentricity #ellipse #straightlinesclass11 #straight_line #straightlines #straightline #straightlinemethod #straightlinemotion #straightline11 #straightlinejee #straightline #straightlinemaths #straightline #straightlinepyqs #straightlinejeepyqs #straightlinemethod #binomial_theorem #binomialtheorem #binomial #binomialexpansion #binomialtheorem #binomials #binomialtheorem #binomialjee #binomial_jeepyqs #binomialtheorem #iit #iitjee2025 .#relationandfunction #relationclass11 #functions #domainandrange #relationsandfunctionsclass11 #relationandfunctionclass12 #complexnumbers #complexroots #complexnumbersclass11 #complexnumbersiitjee #complexnumbersandquadraticequations #complexnumbersjeemain2025 #complex #complexnumber #complex #quadraticequation #quadratic #quadraticequationsclass #quadraticequations #quadratic_formula #quadratic_polynomial #roots #setsclass11 #setsclass11maths #setspyqs #jeepractice #class11mathssets #jeerevision #jeepreparation #ncertsets #jee2024 #setsfullchapter #sets #IITJEE #jeepyq #jeesolutionmaths #jeemaths #jeeclass11 #jeeallquestion #jeemains #jeeadvance #jeepyqsmaths #easymath4jee #easymath #mathjee #jeemath #jee #iit #iitmaths #ujjwal #ujjwalkaushik @easymath4jee @easymath4jee #iitsolution #sets #set #pyq #previousyear question