Conics Ellipse Question (1 Viewer)

[masterdrag]

Hi, can anyone help with this question?

If OP and OQ are conjugate semi-diameters of the ellipse show that

OP^2 + OQ^2 = a^2 + b^2

Thanks<nobr></nobr>

 

[hscishard]

I don't think it's a hard question, you just gotta interpret it correctly.
P and Q is really at points a,0 and 0,b. Semi diameters are like the "radius" of the ellipse. OP is a, OQ is b, hence OP^2 + OQ^2 = a^2 + b^2

Oh the points I chose can be interchangable..so P could be 0,b...etc

 

[masterdrag]

ah cool thanks! yeah i got confused, didn't know OP was just (a,0) and OQ (b,0)

 

[cutemouse]

Just curious... where did you get this question from?