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Question
কোন বৃত্তের 10 সে.মি দীর্ঘ একটি জ্যা কেন্দ্র হতে 12 সে.মি দূরে অবস্থিত । বৃত্তটির ব্যাসার্ধ কত সেন্টিমিটার?
13 সে.মি
14.4 সে.মি
15 সে.মি
9 সে.মি
ANSWER : 1
Descrption
<p>বৃত্তের কেন্দ্র থেকে জ্যা এর মধ্যবিন্দু পর্যন্ত দূরত্বই সর্বনিম্ন দূরত্ব যা জ্যা এর উপর লম্ব</p><p>চিত্রে AB = 10 সে.মি জ্যা এবং AC = 5 সে.মি</p><p>কেন্দ্র O থেকে জ্যা এর দূরত্ব OC = 12 সে.মি</p><p>OA বৃত্তের ব্যাস</p><p>পিথাগোরাসের উপপাদ্য অনুযায়ী OA<sup>2</sup> = AC<sup>2</sup> + OC<sup>2</sup></p><p>=> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>OA</mi><mo>=</mo><msqrt><msup><mn>5</mn><mn>2</mn></msup><mo>+</mo><msup><mn>12</mn><mn>2</mn></msup></msqrt><mo>=</mo><mn>13</mn><mo> </mo><mi>cm</mi></math> </p><p> </p><figure class="image"><img src="data:image/png;base64,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"></figure>
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