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<html><body><h2 id="content-id-8097145632-2"><b>Data Sufficiency Questions Overview</b></h2><p>Data Sufficiency Questions have a good weightage in the Ssc Gd Constable Exam and the type of question asked in Ssc Gd Constable 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 Data Sufficiency Questions.</p><h2 id="content-id-9103472685-3"><b>Question On Data Sufficiency </b></h2>If 4 cos2θ – 3sin2θ + 2 = 0, then the value of tanθ is (where 0 ≤ θ < 90o)
<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 : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 32 Seconds </h3></div></div><h2 id="content-id-7214539680-4"><b> Data Sufficiency Questions Options</b></h2><ol><li><p>1</p>
</li><li><p>√(6)</p>
</li><li><p>√(2)</p>
</li><li><p>1/√(3)</p>
</li></ol> <h2 id="content-id-2716483509-5"><b> Data Sufficiency Questions Solution</b></h2><p>The correct answer is <strong>option 2 </strong>i.e <strong>√(6).</strong></p>

<table border="1" cellpadding="1" cellspacing="1" style="width:300px">
	<tbody>
		<tr>
			<td style="text-align:center"><strong>Understanding</strong></td>
			<td style="text-align:center"><strong>Application</strong></td>
		</tr>
		<tr>
			<td>We can write 2 =  2( Sin<sup>2</sup> <span class="math-tex">\( \theta\)</span>+ Cos<sup>2</sup><span class="math-tex">\( \theta\)</span>)</td>
			<td>
			<p><span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">4 cos<sup>2</sup>θ – 3sin<sup>2</sup>θ + 2 = 0</span></span></span></p>

			<p><span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">4 cos<sup>2</sup>θ – 3sin<sup>2</sup>θ + 2 ( sin<sup>2</sup>θ + cos<sup>2</sup>θ)= 0</span></span></span></p>

			<p><span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">4 cos<sup>2</sup>θ – 3sin<sup>2</sup>θ </span></span></span> + 2<span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">sin<sup>2</sup>θ + 2</span></span></span> <span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">cos<sup>2</sup>θ = 0</span></span></span></p>

			<p><span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">6cos<sup>2</sup>θ  - sin<sup>2</sup>θ = 0</span></span></span></p>

			<p><span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">6cos<sup>2</sup>θ  = sin<sup>2</sup>θ</span></span></span></p>

			<p><span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">Divide both sides by cos<sup>2</sup>θ.</span></span></span></p>

			<p><span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">tan<sup>2</sup>θ=6</span></span></span></p>

			<p><span style="font-size:11.0pt"><span style="background-color:white"><span style="color:#202124">tanθ = <span class="math-tex">\( \sqrt6\)</span></span></span></span></p>
			</td>
		</tr>
	</tbody>
</table>


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The correct answer is option 2 i.e ?? - Data Sufficiency Questions are asked in Ssc Gd Constable exams and your question has been explained by experts like Neetu Mam.

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