If PQ is a double ordinate of the Hyperbola x2/a2 - y2/b2 = 1 such that OPQ is an equilateral triangle ,O being the centre of the hyperbola..Then the range of eccentricity 'e' of the hyperbola is????
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1 Answers
1357Take a point of hyperbola as (asecθ,btanθ)
Now this point has a slope of tan30 from origin.
tan30=btanθ/asecθ=bsinθ/a=1/√3
b/a=1/√3sinθ
e2=1+(b/a)2=1+1/3sin2θ
