A. (1, 3)

B. (1, -3)

C. (-1, 3)

D. (-1, -3)

The equation of the normal at a point hose eccentric angle is 3π/2+θ to the ellipse x^{2}/9+y^{2}/4=1 is

If 2x-y+3=0, 4x+ky+3=0 are conjugate with respect to the ellipse 5x^{2}+6y^{2}-15=0 then k=

P(θ) and D(θ+π/2) are two points on the ellipse x^{2}/a^{2}+y^{2}/b^{2}=1. The locus of point of intersection of tangents at P and D to the ellipse is

If the variable line l_{1}(x-a)+y=0 and l_{2}(x+a)+y=0 are conjugate lines w. r. to the ellipse x^{2}/a^{2}+y^{2}/b^{2}=1. Then the locus of their point of intersection is

The locus of the poles w.r.t the ellipse x^{2}/a^{2}+y^{2}/b^{2}=1 of tangents to its auxiliary circle is