Conics- help needed!! (1 Viewer)

[NizDiz]

Hi guys, doing this Conics question, well, can't I've tried so many ways but can't seem to get a right answer to the given. May someone please help? Its the first part of the question in pdf. All help appreciated. Thanks

 

[VBN2470]

The equation of the tangent and asymptotes are known. For point Q, substitute the equation of the asymptote for y into the equation of the tangent. You will then get {x=a/{sec(theta)-tan(theta)}. Then you multiply top and bottom by (sec(theta)+tan(theta)) and you will find the denominator is equal to 1. Hence the x-coordinate of point Q is found. Substitute this into the equation of asymptote to obtain the y-coordinate. Apply this same method for point R and you will arrive at the answer.

 

[NizDiz]

yeh i didnt realise u had u rationalise. Thanks mate