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Consider a hyperbola: ((x-7)^(2))/(a) -((y+3)^(2))/(b^(2)) =1. The line 3x - 2y - 25 =0, which is not a tangent, intersect the hyperbola at H ((11)/(3),-7) only. A variable point P(alpha +7, alpha^(2)-4) AA alpha in R exists in the plane of the given hyperbola. The eccentricity of the hyperbola is |
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Answer» `sqrt((7)/(5))` `rArr` SLOPE of asymptotes are `(3)/(2)` and `-(3)/(2)` `rArr (b)/(a) =(3)/(2) rArr e = (sqrt(13))/(2)` |
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