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Let 2 x^2 + y^2 - 3xy = 0 be the equatio...

Let `2 x^2 + y^2 - 3xy = 0` be the equation of pair of tangents drawn from the origin to a circle of radius 3, with center in the first quadrant. If A is the point of contact. Find OA

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`2x^2+y^2-3xy=0`
`y^2-2xy-xy+2x^2=0`
`y(y-2x)-x(y-2x)=0`
`(y-x)(y-2x)=0`
`y=x` or `y=2x`
`tantheta=|(2-1)/(1+2)|=1/3`
`(2tantheta)/(1-tan^2theta)=1/3`
`6tantheta=1-tan^2theta`
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