- Tardigrade
- Question
- Mathematics
- From a point ' P ' three normals are drawn to the parabola y2=4 x such that two of them make angles with the abscissa axis, the product of whose tangents is 2 . Suppose the locus of the point ' P ' is a part of a conic ' C '. Now a circle S =0 is described on the chord of the conic ' C ' as diameter passing through the point (1,0) and with gradient unity. Suppose (a,b) are the coordinates of the centre of this circle. If L1 and L2 are the two asymptotes of the hyperbola with length of its transverse axis 2 a and conjugate axis 2 b (principal axes of the hyperbola along the coordinate axes) then answer the following questions. Locus of P is a part of
Q. From a point ' ' three normals are drawn to the parabola such that two of them make angles with the abscissa axis, the product of whose tangents is 2 . Suppose the locus of the point ' ' is a part of a conic ' '. Now a circle is described on the chord of the conic ' ' as diameter passing through the point and with gradient unity. Suppose (a,b) are the coordinates of the centre of this circle. If and are the two asymptotes of the hyperbola with length of its transverse axis and conjugate axis (principal axes of the hyperbola along the coordinate axes) then answer the following questions. Locus of is a part of
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