15:["$","div",null,{"className":"grid gap-4 mb-8","children":[["$","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":"

p \\cos \\alpha = a

"},"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":"

p \\sin \\alpha = a

"},"className":"mx-1"}],"$L1a"]}]}]]}],"$L1b","$L1c"]}]

Q.The condition that the line xcos⁡α+ysin⁡α=px \cos \alpha + y \sin \alpha = pxcosα+ysinα=p may touch the parabola y2=4axy^2 = 4axy2=4ax is

Correct Answer: Option C

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Q.The condition that the line $x \cos \alpha + y \sin \alpha = p$ may touch the parabola $y^2 = 4ax$ is