- #1
utkarshakash
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Homework Statement
From the point (2√2,1) a pair of tangents are drawn to [itex]\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2} = 1,[/itex] which intersect the coordinate axes in concyclic points . If one of the tangents is inclined at an angle of [itex]tan^{-1}\frac{1}{√2}[/itex] with the transverse axis of the hyperbola , then find the equation of
i) hyperbola ii)circle formed using concyclic points
Homework Equations
The Attempt at a Solution
Equation of tangent
[itex]y=mx+\sqrt{a^2m^2-b^2}[/itex]
where m = [itex]tan^{-1}\frac{1}{√2}[/itex]
Passing it through the given point will give me an equation in a and b. But there are two unknowns.