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question_answer1) The line \[x-2y=0\]will be a bisector of the angle between the lines represented by the equation \[{{x}^{2}}-2hxy-2{{y}^{2}}=0\], if \[h=\]
question_answer2) The equation of the bisectors of the angle between lines represented by equation \[4{{x}^{2}}-16xy-7{{y}^{2}}=0\]is
question_answer3) The equation of the bisectors of angle between the lines represented by equation \[{{(y-mx)}^{2}}={{(x+my)}^{2}}\]is
question_answer4) The equation of the bisectors of the angle between the lines represented by the equation \[{{x}^{2}}-{{y}^{2}}=0\], is
question_answer5) If \[y=mx\]be one of the bisectors of the angle between the lines \[a{{x}^{2}}-2hxy+b{{y}^{2}}=0\], then
question_answer6) The combined equation of bisectors of angles between coordinate axes, is
question_answer7) If the bisectors of the angles between the pairs of lines given by the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\] and \[a{{x}^{2}}+2hxy+b{{y}^{2}}+\lambda ({{x}^{2}}+{{y}^{2}})=0\] be coincident, then \[\lambda =\]
question_answer8) The combined equation of the bisectors of the angle between the lines represented by \[({{x}^{2}}+{{y}^{2}})\sqrt{3}=\] \[4xy\] is [MP PET 1992]
question_answer9) The equation of the bisectors of the angles between the lines represented by \[{{x}^{2}}+2xy\cot \theta +{{y}^{2}}=0\], is
question_answer10) If the bisectors of angles represented by \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\] and \[a'{{x}^{2}}+2h'xy+b'{{y}^{2}}=0\] are same, then
question_answer11) If \[r(1-{{m}^{2}})+m(p-q)=0\], then a bisector of the angle between the lines represented by the equation \[p{{x}^{2}}-2rxy+q{{y}^{2}}=0\], is
question_answer12) If the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\]has the one line as the bisector of angle between the coordinate axes, then [Bihar CEE 1990]
question_answer13) If the bisectors of the angles of the lines represented by \[3{{x}^{2}}-4xy+5{{y}^{2}}=0\] and \[5{{x}^{2}}+4xy+3{{y}^{2}}=0\] are same, then the angle made by the lines represented by first with the second, is
question_answer14) One bisector of the angle between the lines given by \[a{{(x-1)}^{2}}+2h\,(x-1)y+b{{y}^{2}}=0\] is \[2x+y-2=0\]. The other bisector is
question_answer15) The point of intersection of the lines represented by the equation \[2{{x}^{2}}+3{{y}^{2}}+7xy+8x+14y+8=0\] is
question_answer16) The point of intersection of the lines represented by equation \[2{{(x+2)}^{2}}+3(x+2)(y-2)-2{{(y-2)}^{2}}=0\] is
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