- #1

utkarshakash

Gold Member

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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.