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The length of the transverse axis of the rectangular hyperbola xy 18 is ...
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A straight line has its extremities on two fixed straight lines and cuts off from them a triangle of ...
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If a variable line has its intercepts on the coordinate axes e, e', where e/2, e'/2 are the eccentri ...
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The equation of the transverse axis of the hyperbola (x-3)^2+(y+1)^2=(4x+3y)^2 is ...
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The family of curves for which the length of the normal at any point is equal to the radius vector o ...
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The eccentricity of the conic represented by xy²-4x +4y+16-0 is ...
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The equation 16x^2-3y²-32x+12y -44=0 represents a hyperbola ...
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If the vertex of a hyperbola bisects the distance between its centre and the corresponding focus, th ...
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The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the di ...
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Let LL' be the latus rectum through the focus of the hyperbola x^2/a^2 - y^2/b^2 =1 and A' be the fa ...
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The latus rectum of the hyperbola 9x^2-16y^2-18x-32y -151=0 is ...
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The eccentricity of the conjugate hyperbola of the hyperbola x^2 -3y^2-1 is ...
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The equations of the transverse and conjugate axes of a hyperbola are respectively x+2y-3=0,2x-y+4-0 ...
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Locus of a point whose chord of contact with respect to the circle x² + y² = 4 is a tangent to the h ...
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The sides AC and AB of a ΔABC touch the conjugate hyperbola of the hyperbola(x^2/a^2 )-(y^2/b^2)=1. ...
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The tangent at a point P on the hyperbola =1 passes through the point (0, b) and the normal at P pas ...
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If values of m for which the line y= mx + 2√5 touches the hyperbola 16x^2-9y^2=144 are roots of the ...
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Portion of asymptote of hyperbola (x^2/a^2 )-(y^2/b^2)=1 (between centre and the tangent at vertex) ...
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If angle between asymptotes of hyperbola (x^2/a^2 )-(y^2/b^2)=1 is 120° and product of perpendicular ...
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The co-ordinates of a point on the hyperbola,x^2/24-y^2/18=1, which is nearest to the line 3.x + 2y ...
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The number of possible tangents which can be drawn to the curve 4x²-9y =36, which are perpendicular ...
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Locus of the feet of the perpendiculars drawn from either focus on a variable tangent to the hyperbo ...
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From any point P on the hyperbola-H tangents are drawn to the hyperbola b² 2. Then area cut-off by t ...
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From a point P (1, 2) two tangents are drawn to a hyperbola 'H' in which one tangent is drawn to eac ...
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The combined equation of the asymptotes of the hyperbola 2x²+5xy+2y²+4x+5y=0 is ...
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The asymptotes of the hyperbola xy=hx + ky are ...
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The asymptote of the STANDARD hyperbola form with any tangent to the hyperbola a triangle whose are ...
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The centre of a rectangular hyperbola lies on the line y=2x. If one of the asymptotes is x+y+c=0, th ...
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Equation of a rectangular hyperbola whose asymptotes are x=3 and y=5 and passing through (7, 8) is ...
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If foci of hyperbola lie on y=x and one of the asymptote is y=2x, then equation of the hyperbola, g ...
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(x-1) (y-2)-5 and (x-1)^2+(y+2)² =r² intersect at four points A, B, C, D and if centroid of AABC li ...
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If tangents OQ and OR are drawn to variable circles having radius and the centre lying on the recta ...
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Four points are such that the line joining any two points is perpendicular to the line joining othe ...
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Equation of conjugate axis of hyperbola xy-3y-4x+7=0 ...
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If S1 and S2 are the foci of the hyperbola whose transverse axis length is 4 and conjugate axis le ...
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. Suppose the circle having equation x² + y² = 3 intersects the rectangular hyperbola xy= 1 at the p ...
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