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<html><body><h2 id="content-id-8671520493-2"><b>Algebra Questions Overview</b></h2><p>Algebra 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 Algebra Questions.</p><h2 id="content-id-3240917658-3"><b>Question On Algebra </b></h2>If x4 + x2y2 + y4 = 931 and x2 - xy + y2 = 19, then find the value of 2x2 + 3y2? (x > y)
<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 : 33 Seconds </h3></div></div><h2 id="content-id-6809341725-4"><b> Algebra Questions Options</b></h2><ol><li><p>77</p>
</li><li><p>75</p>
</li><li><p>11</p>
</li><li><p>62</p>
</li></ol> <h2 id="content-id-4098752613-5"><b> Algebra Questions Solution</b></h2><p>The correct answer is <strong>option 1</strong> i.e. <strong>77</strong>.</p>

<p>x<sup>4</sup> + x<sup>2</sup>y<sup>2</sup> + y<sup>4</sup> = 931</p>

<p>⇒ (x<sup>2</sup> − xy + y<sup>2</sup>)(x<sup>2</sup> + xy + y<sup>2</sup>) = 931</p>

<p>⇒ 19 × (x<sup>2</sup> + xy + y<sup>2</sup>) = 931</p>

<p>⇒ (x<sup>2</sup> + xy + y<sup>2</sup>) = 49....(1)</p>

<p>Now,</p>

<p>⇒ (x<sup>2</sup> − xy + y<sup>2</sup>) + (x<sup>2</sup> + xy + y<sup>2</sup>) = 49 + 19</p>

<p>⇒ 2(x<sup>2</sup> + y<sup>2</sup>) = 68</p>

<p>⇒ x<sup>2</sup> + y<sup>2</sup> = 34</p>

<p>Put this in eq 1</p>

<p>⇒ 34 + xy = 49</p>

<p>⇒ xy = 15</p>

<p>⇒ (x + y)<sup>2</sup> = x<sup>2</sup> + y<sup>2</sup> + 2xy = 34 + 2 × 15 = 64</p>

<p>⇒ (x + y) = 8....(2)</p>

<p>⇒ (x - y)<sup>2</sup> = x<sup>2</sup> + y<sup>2</sup> - 2xy = 34 - 2 × 15 = 4</p>

<p>⇒ x - y = 2....(3)</p>

<p>Solving equations 2 and 3</p>

<p>⇒ 2x = 10</p>

<p>⇒ x = 5, then,</p>

<p>⇒ y = 3</p>

<p>Value of 2x<sup>2 </sup>+ 3y<sup>2</sup> = 2 × 5<sup>2</sup> + 3 × 3<sup>2</sup> = 50 + 27 = 77</p>
<h2 id="content-id-5479126083-6"><b> Algebra Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Algebra_Questions_Tips_and_Tricks.png" alt="Algebra Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Algebra Questions without taking any help from the solutions.</li><li>Algebra 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 1 i.e. 77. - Algebra Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

If x4 x2y2 y4 93 - Algebra Questions for Ssc Cgl

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