Conics Question! (1 Viewer)

[red-butterfly]

This is from Cambridge 4 unit ex 3.2 question 7

P(a cos θ , b sin θ) and Q(a cos ɸ, b sin ɸ) lie on the ellipse x^2/ a^2 + y^2/a^2 = 1

a) In PQ subtends a right angle at (0,0) show that tanθ tanɸ = - a^2/b^2

b) If PQ subtends a right angle at (a,0) show that tanθ/2 tanɸ/2 = - b^2/a^2

 

[kooltrainer]

question a) find gradient of PO and QO, multiple them together and make it equal to -1

and i thought they dun do conics anymore in the new syllabus..

 

[tommykins]

 

[jet]

Sorry, the equation editor didnt work so I did it myself. Thats why Its so large.

 

[vds700]

This is from Cambridge 4 unit ex 3.2 question 7

you do realise there are full solutions to this book free for download on this forum?

 

[independantz]

and i thought they dun do conics anymore in the new syllabus..

The new syllabus hasn't been implemented yet, Also I think that was a draft copy? Not entirely sure.

 

[kooltrainer]

lol gg with conics...