Math, asked by nithyalol, 9 months ago

Area of the circle touching parabola y2 = x at (1, 1) and having
directrix of y2 = x as its normal is (in sq. units)

Answers

Answered by Rohit57RA

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$<!DOCTYPE html></p><p></p><p><html lang="en"></p><p></p><p><head></p><p></p><p><meta charset="UTF-8"></p><p></p><p><meta name="viewport" content="width=device-width, initial-scale=1.0"></p><p></p><p><title>Arc reacter</title></p><p></p><p><link rel="stylesheet" href="design.css" /></p><p></p><p></head></p><p></p><p><body></p><p></p><p><div class="fullpage-wrapper"></p><p></p><p><div class="reactor-container"></p><p></p><p><div class="reactor-container-inner circle abs-center"></div></p><p></p><p><div class="tunnel circle abs-center"></div></p><p></p><p><div class="core-wrapper circle abs-center"></div></p><p></p><p><div class="core-outer circle abs-center"></div></p><p></p><p><div class="core-inner circle abs-center"></div></p><p></p><p><div class="coil-container"></p><p></p><p><div class="coil coil-1"></div></p><p></p><p><div class="coil coil-2"></div></p><p></p><p><div class="coil coil-3"></div></p><p></p><p><div class="coil coil-4"></div></p><p></p><p><div class="coil coil-5"></div></p><p></p><p><div class="coil coil-6"></div></p><p></p><p><div class="coil coil-7"></div></p><p></p><p><div class="coil coil-8"></div></p><p></p><p></div></p><p></p><p></div></p><p></p><p></div></p><p></p><p><style></p><p></p><p>body { margin: 0; } .fullpage-wrapper { width: 100%; height: 100vh; background: radial-gradient(#353c44, #222931); display: flex; } .reactor-container { width: 300px; height: 300px; margin: auto; border: 1px dashed #888; position: relative; border-radius: 50%; background-color: #384c50; border: 1px solid rgb(18, 20, 20); box-shadow: 0px 0px 32px 8px rgb(18, 20, 20), 0px 0px 4px 1px rgb(18, 20, 20) inset; } .reactor-container-inner { height: 238px; width: 238px; background-color: rgb(22, 26, 27);; box-shadow: 0px 0px 4px 1px #52FEFE; } .circle { border-radius: 50%; } .abs-center { position: absolute; top: 0; right: 0; bottom: 0; left: 0; margin: auto; } .core-inner { width: 70px; height: 70px; border: 5px solid #1B4E5F; background-color: #FFFFFF; box-shadow: 0px 0px 7px 5px #52FEFE, 0px 0px 10px 10px #52FEFE inset; } .core-outer { width: 120px; height: 120px; border: 1px solid #52FEFE; background-color: #FFFFFF; box-shadow: 0px 0px 2px 1px #52FEFE, 0px 0px 10px 5px #52FEFE inset; } .core-wrapper { width: 180px; height: 180px; background-color: #073c4b; box-shadow: 0px 0px 5px 4px #52FEFE, 0px 0px 6px 2px #52FEFE inset; } .tunnel { width: 220px; height: 220px; background-color: #FFFFFF; box-shadow: 0px 0px 5px 1px #52FEFE, 0px 0px 5px 4px #52FEFE inset; } .coil-container { position: relative; width: 100%; height: 100%; animation: 3s infinite linear reactor-anim; } .coil { position: absolute; width: 30px; height: 20px; top: calc(50% - 110px); left: calc(50% - 15px); transform-origin: 15px 110px; background-color:#073c4b; box-shadow: 0px 0px 5px #52FEFE inset; } .coil-1 { transform: rotate(0deg); } .coil-2 { transform: rotate(45deg); } .coil-3 { transform: rotate(90deg); } .coil-4 { transform: rotate(135deg); } .coil-5 { transform: rotate(180deg); } .coil-6 { transform: rotate(225deg); } .coil-7 { transform: rotate(270deg); } .coil-8 { transform: rotate(300deg); } @keyframes reactor-anim { from { transform: rotate(0deg); } to { transform: rotate(360deg); } }</p><p></p><p></style></p><p></p><p></body></p><p></p><p></html>$

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Area of the circle touching parabola y2 = x at (1, 1) and havingdirectrix of y2 = x as its normal is (in sq. units)​

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Area of the circle touching parabola y2 = x at (1, 1) and having
directrix of y2 = x as its normal is (in sq. units)