Turito Academy

Test Prep

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If the normal at the point <img src="data:image/png;base64,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" class="Wirisformula" alt="straight P left parenthesis theta right parenthesis" width="30" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»P«/mi»«mo»(«/mo»«mi»§#952;«/mi»«mo»)«/mo»«/math»'/> to the ellipse <img src="data:image/png;base64,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" class="Wirisformula" alt="x squared over 14 plus y squared over 5 equals 1" width="97" height="39" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mn»14«/mn»«/mfrac»«mo»+«/mo»«mfrac»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mn»5«/mn»«/mfrac»«mo»=«/mo»«mn»1«/mn»«/math»'/> intersects it again at the point <img src="data:image/png;base64,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" class="Wirisformula" alt="straight Q left parenthesis 2 theta right parenthesis" width="43" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»Q«/mi»«mo»(«/mo»«mn»2«/mn»«mi»§#952;«/mi»«mo»)«/mo»«/math»'/>, then <img src="data:image/png;base64,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" class="Wirisformula" alt="cos space theta" width="41" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cos«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»'/> is

Solution for the question - if the normal at the pointto the ellipseintersects it again at thepoint, thenis none of these.3/4-2/32/3