17:["$","div",null,{"className":"grid gap-4 mb-8","children":[["$","div","a",{"className":"p-4 border-2 border-gray-100 rounded-2xl hover:bg-blue-50 hover:border-blue-200 flex items-center gap-4 cursor-pointer group transition-all duration-300","children":[["$","span",null,{"className":"w-8 h-8 shrink-0 rounded-full bg-gray-100 text-gray-600 flex items-center justify-center font-bold uppercase group-hover:bg-blue-600 group-hover:text-white transition-colors shadow-sm","children":"a"}],["$","div",null,{"className":"text-gray-700 font-medium text-base md:text-lg","children":["$","span",null,{"className":"leading-loose text-gray-800 font-sans","children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}],["$","span","1",{"dangerouslySetInnerHTML":{"__html":"

1:2

"},"className":"mx-1"}],["$","span","2",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}]]}]}]]}],["$","div","b",{"className":"p-4 border-2 border-gray-100 rounded-2xl hover:bg-blue-50 hover:border-blue-200 flex items-center gap-4 cursor-pointer group transition-all duration-300","children":[["$","span",null,{"className":"w-8 h-8 shrink-0 rounded-full bg-gray-100 text-gray-600 flex items-center justify-center font-bold uppercase group-hover:bg-blue-600 group-hover:text-white transition-colors shadow-sm","children":"b"}],["$","div",null,{"className":"text-gray-700 font-medium text-base md:text-lg","children":["$","span",null,{"className":"leading-loose text-gray-800 font-sans","children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}],["$","span","1",{"dangerouslySetInnerHTML":{"__html":"

2:1

"},"className":"mx-1"}],["$","span","2",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}]]}]}]]}],["$","div","c",{"className":"p-4 border-2 border-gray-100 rounded-2xl hover:bg-blue-50 hover:border-blue-200 flex items-center gap-4 cursor-pointer group transition-all duration-300","children":[["$","span",null,{"className":"w-8 h-8 shrink-0 rounded-full bg-gray-100 text-gray-600 flex items-center justify-center font-bold uppercase group-hover:bg-blue-600 group-hover:text-white transition-colors shadow-sm","children":"c"}],["$","div",null,{"className":"text-gray-700 font-medium text-base md:text-lg","children":"$L1c"}]]}],"$L1d"]}]

Q.If the equation x2+2ax+b=0x^2 + 2ax + b = 0x2+2ax+b=0 and x2+3ax+2b=0x^2 + 3ax + 2b = 0x2+3ax+2b=0 have a common root, then a:ba : ba:b is

Correct Answer: Option A

Unlock Detailed Solution

Q.If the equation $x^2 + 2ax + b = 0$ and $x^2 + 3ax + 2b = 0$ have a common root, then $a : b$ is