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Normals #!#Rectangular Hyperbola

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Equation of normal of rectangular hyperbola

Normal to a rectangular hyperbola at P meets the transverse axis at N. If foci of hyperbola are S and S', then find the value of (SN)/(SP).

If the tangent and normal to a rectangular hyperbola cut off intercepts a_(1) and a_(2) on one axis and b_(1) and b_(2) on the other, then

If the tangent and the normal to a rectangular hyperbola xy = c^(2) , at a point , cuts off intercepts a_(1)" and " a_(2) on the x- axis and b_(1) b_(2) on the y- axis, then a_(1)a_(2) + b_(1) b_(2) is equal to

Asymptotes | Rectangular Hyperbola | Properties of Hyperbola and Problem Solving

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Asymptotes || Rectangular Hyperbola , Illustration

If the normal to the rectangular hyperbola x^(2) - y^(2) = 4 at a point P meets the coordinates axes in Q and R and O is the centre of the hyperbola , then

If the normal to the rectangular hyperbola xy = 4 at the point (2t, (2)/(t_(1))) meets the curve again at (2t_(2), (2)/(t_(2))) , then