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<html><body><h2 id="content-id-1708362954-2"><b>Mensuration 2D Questions Overview</b></h2><p>Mensuration 2D Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Mensuration 2D Questions.</p><h2 id="content-id-1942630758-3"><b>Question On Mensuration 2D </b></h2>Two circles with radii r1 and r2 touch each other externally. If the length of their direct common tangent is T, Which of the following is the correct relationship btweeen T, r1 and r2?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 36 Seconds </h3></div></div><h2 id="content-id-5413207968-4"><b> Mensuration 2D Questions Options</b></h2><ol><li><p>T = r<sub>1</sub> + r<sub>2</sub></p>
</li><li><p>T = 2(r<sub>1</sub> + r<sub>2</sub>)</p>
</li><li><p>T = <span class="math-tex">\(2{\sqrt{r_1r_2} }\)</span></p>
</li><li><p>T = <span class="math-tex">\({r_1^2 r_2^2}\)</span></p>
</li></ol> <h2 id="content-id-1574328096-5"><b> Mensuration 2D Questions Solution</b></h2><p><span style="font-size:11.0pt">The correct answer is <strong>option 3 </strong>i.e. </span><strong>T =</strong> <span class="math-tex">\(2{\sqrt{r_1r_2} }\)</span>.</p>

<p>For two circles touching externally:</p>

<p>Distance between centers = r<sub>1</sub> + r<sub>2</sub></p>

<p>Length of direct common tangent (T):</p>

<p>T<sup>2</sup> = (distance between centers)<sup>2</sup> − (<sub>1</sub> − r<sub>2</sub>)<sup>2</sup></p>

<p>⇒ (r<sub>1</sub> + r<sub>2</sub>)<sup>2</sup> − (r<sub>1</sub> − r<sub>2</sub>)<sup>2</sup></p>

<p>⇒ r<sub>1</sub><sup>2</sup> + 2r<sub>1</sub>r<sub>2</sub> + r<sub>2</sub><sup>2</sup> − (r<sub>1</sub><sup>2</sup> − 2r<sub>1</sub>r<sub>2</sub> + r<sub>2</sub><sup>2</sup>) = 4r<sub>1</sub>r<sub>2</sub></p>

<p>So,</p>

<p>T = <span class="math-tex">\(2{\sqrt{r_1r_2} }\)</span></p>
<h2 id="content-id-5831940267-6"><b> Mensuration 2D Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Mensuration_2D_Questions_Tips_and_Tricks.png" alt="Mensuration 2D Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Mensuration 2D Questions without taking any help from the solutions.</li><li>Mensuration 2D Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. 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The correct answer is option 3 i.e. T = - Mensuration 2D Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

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Two circles with radii r1 - Mensuration 2D Questions for Ssc Cgl

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