LIC AAO exam question
The radius of the circle is 13 cm and AB is chord which is at a distance of 12 cm from the center. Then the length of the chord is A. 16 cm B. 10 cm C. 8 cm D. 15 cm
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Bishnupriya
- 11 Jan
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!--[if gte mso 9]xml w:WordDocument w:ViewNormal/w:View w:Zoom0/w:Zoom w:TrackMoves/ w:TrackFormatting/ w:PunctuationKerning/ w:ValidateAgainstSchemas/ w:SaveIfXMLInvalidfalse/w:SaveIfXMLInvalid w:IgnoreMixedContentfalse/w:IgnoreMixedContent w:AlwaysShowPlaceholderTextfalse/w:AlwaysShowPlaceholderText w:DoNotPromoteQF/ w:LidThemeOtherEN-US/w:LidThemeOther w:LidThemeAsianX-NONE/w:LidThemeAsian w:LidThemeComplexScriptX-NONE/w:LidThemeComplexScript w:Compatibility w:BreakWrappedTables/ w:SnapToGridInCell/ w:WrapTextWithPunct/ w:UseAsianBreakRules/ w:DontGrowAutofit/ w:SplitPgBreakAndParaMark/ w:DontVertAlignCellWithSp/ w:DontBreakConstrainedForcedTables/ w:DontVertAlignInTxbx/ w:Word11KerningPairs/ w:CachedColBalance/ /w:Compatibility w:BrowserLevelMicrosoftInternetExplorer4/w:BrowserLevel m:mathPr m:mathFont m:val="Cambria Math"/ m:brkBin m:val="before"/ m:brkBinSub m:val="--"/ m:smallFrac m:val="off"/ m:dispDef/ m:lMargin m:val="0"/ m:rMargin m:val="0"/ m:defJc m:val="centerGroup"/ m:wrapIndent m:val="1440"/ m:intLim m:val="subSup"/ m:naryLim m:val="undOvr"/ /m:mathPr/w:WordDocument /xml![endif]--br /Let O be the center of Circle and AB be the chord.br /P be the midpoint of AB, Sobr /AP = PBbr /OP = 12 cm = distance of chord from centerbr /andbr /AO = 13 cm = Radiusbr /Now, OPA forms a right angle triangle.br /Now, by Pythagoras theorem,br /AO^2 = OP^2 + AP^2br /AP^2 = AO^2 - OP^2br /AP^2 = 13^2 - 12^2br /AP^2 = 169 - 144br /AP^2 = 25br /AP = 5 cm.br /Now,br /AB = AP + PB = AP + AP = 5 +5 = 10 cm.br /!--[if gte mso 9]xml w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true" DefSemiHidden="true" DefQFormat="false" DefPriority="99" LatentStyleCount="267" w:LsdException Locked="false" Priority="0" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Normal"/ w:LsdException Locked="false" Priority="9" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="heading 1"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/ w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/ w:LsdException Locked="false" Priority="39" Name="toc 1"/ w:LsdException Locked="false" Priority="39" Name="toc 2"/ w:LsdException Locked="false" Priority="39" Name="toc 3"/ w:LsdException Locked="false" Priority="39" Name="toc 4"/ w:LsdException Locked="false" Priority="39" Name="toc 5"/ w:LsdException Locked="false" Priority="39" Name="toc 6"/ w:LsdException Locked="false" Priority="39" Name="toc 7"/ w:LsdException Locked="false" Priority="39" Name="toc 8"/ w:LsdException Locked="false" Priority="39" Name="toc 9"/ w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/ w:LsdException Locked="false" Priority="10" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Title"/ w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/ w:LsdException Locked="false" Priority="11" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/ w:LsdException Locked="false" Priority="22" SemiHidden="false" UnhideWhenUsed="false" QFormat="true" Name="Strong"/ w:L
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Megha
- 17 May
- 0 Comment
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10 cm