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question_answer1) The centre of the conic represented by the equation \[2{{x}^{2}}-72xy+23{{y}^{2}}-4x-28y-48=0\] is
question_answer2) The centre of \[14{{x}^{2}}-4xy+11{{y}^{2}}-44x-58y+71=0\] [BIT Ranchi 1986]
question_answer3) The equation of the conic with focus at (1, ?1), directrix along \[x-y+1=0\] and with eccentricity \[\sqrt{2}\] is [EAMCET 1994]
question_answer4) If a point \[(x,\ y)\equiv (\tan \theta +\sin \theta ,\ \tan \theta -\sin \theta )\], then locus of (x, y) is [EAMCET 2002]
question_answer5) Equation\[\sqrt{{{(x-2)}^{2}}+{{y}^{2}}}+\sqrt{{{(x+2)}^{2}}+{{y}^{2}}}=4\]represents [Orissa JEE 2004]
question_answer6) Angle of intersection of the curves \[r=\sin \theta +\cos \theta \] and \[r=2\sin \theta \] is equal to [UPSEAT 2004]
question_answer7) The equation \[{{y}^{2}}-{{x}^{2}}+2x-1=0\] represents [UPSEAT 2004]
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