A. 4

B. 5

C. 6

D. 7

The product of the slopes of the tangents to the ellipse 2x^{2}+3y^{2}=6 draw from the point (1, 2) is

The ordinate PN of P(a cos θ, b sin θ) on the ellipse x^{2}/a^{2}+y^{2}/b^{2}=1 meets the auxiliary circle at Q,. The locus of the point of intersection of normal at P and Q is

The locus of the middle point of chords of the ellipse x^{2}/a^{2}+y^{2}/b^{2}=1 whose pole lies on the auxiliary circle is

The midpoint of a chord 4x+5y-13=0 of the ellipse 2x^{2}+5y^{2}=20 is

The equation of the chord of the ellipse 2x^{2}+3y^{2}=6 having (1, -1) as its midpoint is