if `P(theta) and Q(pi/2 +theta)` are two points on the ellipse `x^2/a^2+y^@/b^2=1`, locus ofmid point of PQ is

If P(theta) and Q((pi)/(2)+theta) are two points on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 then find the locus of midpoint of PQ

If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^2=1 and α is the angle between normals at P and Q, then

let P be the point (1, 0) and Q be a point on the locus y^2= 8x . The locus of the midpoint of PQ is

If p(theta) is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtb) then find its coresponding point

If P is the point (1,0) and Q is any point on the parabola y^(2) = 8x then the locus of mid - point of PQ is

The distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 from a focus, is

P and Q are two points on the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) =1 whose eccentric angles are differ by 90^(@) , then

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is