已知椭圆x^2/a^2+y^2/b^2=1(a>b>0)上一点P(3,4),两焦点F1,F2,若PF1⊥PF2,求方程

a>b>0,点P(3,4)在x^2/a^2+y^2/b^2=1上9/a^2+16/b^2=1.(1)两焦点F1,F2,若PF1⊥PF2F1(-c,0),F2(c,0)k(PF1)=4/(3+c),k(F2)=4/(3-c)k(F1)*k(F2)=-1[4/(3+c)]*[4/(3-c)]=-1c^2=25a^2-b^2=25.(2)b^2=20,a^2=45椭圆方程:x^2...