class 11

Math

Co-ordinate Geometry

Hyperbola

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is :(A) $34 $(B) $3 4 $(C) $3 2 $(D) $3 $

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Consider a hyperbola $xy=4$ and a line $y=2x=4$. O is the centre of hyperbola. Tangent at any point P of hyperbola intersect the coordinate axes at A and B. Shortest distance between the line and hyperbola is