hey guys.. this was in a past paper for my school and it's kinda getting to me..
ii) Prove that the tangent to the hyperbola x^2/4 - y^2/5 = 1 at the point P (2sec@ , (√5)tan@) is : (xsec@)/2 - (ytan@)/2 = 1
i got up to here and the next question kidna threw me off..
iii) This tangent cuts the asymtotes in L & M. Find the distance LM
iv) Hence Prove that the area of ∆OLM is independent of the position of P (O is the origin)
can anyone help me with this?
ii) Prove that the tangent to the hyperbola x^2/4 - y^2/5 = 1 at the point P (2sec@ , (√5)tan@) is : (xsec@)/2 - (ytan@)/2 = 1
i got up to here and the next question kidna threw me off..
iii) This tangent cuts the asymtotes in L & M. Find the distance LM
iv) Hence Prove that the area of ∆OLM is independent of the position of P (O is the origin)
can anyone help me with this?