Two circles of equal radii touch externally at a point P . Form a point T on the target at P target TQ and TR are drawn to the circles with points of contact Q and R respectively. The relations of TQ and TR is
সঠিক উত্তর
সঠিক উত্তর: TQ = TR
ভুল বা সঠিক হলে সাথে সাথেই ব্যাখ্যা সহ উত্তর দেখতে পারবেন।
১ + ৫ + ৯ + ........... +৮১ = ?
পদসংখ্যা ৮১-১/৪+১; সমষ্টি = শেষ পদ+প্রথম পদ/২× পদসংখ্যা
গণিত বিষয়ে ১০ টি গুরুত্বপূর্ণ প্রশ্ন
১০ মার্কের MCQ কুইজএই প্রশ্নের বিশেষজ্ঞ বিশ্লেষণ
Let's analyze the given problem step-by-step to understand why TQ = TR is the correct answer.
<h2>Problem Summary</h2>We have two circles of equal radii that touch externally at a point P. From a point T on the common tangent at P, tangent segments TQ and TR are drawn to the circles with points of contact Q and R respectively.
<h2>Diagram and Geometry</h2>To correctly visualize the problem, consider the following setup:
We use the following key properties of tangents to circles:
Let's denote the lengths of TQ and TR as follows:
<div class="equation"> TQ = TR </div>This is due to the fact that both TQ and TR are tangent segments drawn from the same external point T to the points of contact Q and R on respective circles. Because tangents from an external point to a circle are equal, and the circles touch externally, segments TQ and TR must be equal.
<h2>Conclusion</h2>Thus, we conclude that the correct relationship between TQ and TR is:
<div class="equation"> TQ = TR </div>Therefore, the correct answer to the multiple-choice question is:
For more in-depth understanding of circle tangents and properties, you can refer to renowned geometry textbooks such as:
রেফারেন্স মাত্র
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