A. 3x/sin θ+2y/cos θ=5
B. 3x/sin θ-2y/cos θ=5
C. 2x/sin θ+3y/cos θ=5
D. 2x/sin θ-3y/cos θ=5
If 2x-y+3=0, 4x+ky+3=0 are conjugate with respect to the ellipse 5x2+6y2-15=0 then k=
P(θ) and D(θ+π/2) are two points on the ellipse x2/a2+y2/b2=1. The locus of point of intersection of tangents at P and D to the ellipse is
If the variable line l1(x-a)+y=0 and l2(x+a)+y=0 are conjugate lines w. r. to the ellipse x2/a2+y2/b2=1. Then the locus of their point of intersection is
The locus of the poles w.r.t the ellipse x2/a2+y2/b2=1 of tangents to its auxiliary circle is
If the line lx+my=1 is a normal to the ellipse x2/a2+y2/b2=1 then a2/l2-b2/m2=1
The radius of the circle passing through the foci of the ellipse x2/16+y2/9=1 and having its center at (0, 3) is
If x and y are strictly positive such that x+y =1,then the minimum value of x log x + y log y is
The locus of middle point of the chord of the ellipse x2/a2+y2/b2=1 touching the ellipse The locus of midpoint of the chord of the ellipse x2/α2+y2/β2=1
The points on the ellipse x2/25+y2/9=1 whose angles differ by a right angle are
The chord of contact of tangents drawn from points on x2/a2+y2/b2=1 to the circle x2+ y2=c2 touches the ellipse