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

iger 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

Find the maximum length of chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then find the locus of midpoint of PQ

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

P(theta) and D(pi/2+theta) are two points on the ellipse x^2/a^2+y^2/b^2=1 . Show that the locus of the point of intersection of tangents at P and Q to the ellipse is x^2/a^2+y^2/b^2=2

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

If P( 3 sec theta, 2 tan theta ) and Q( 3sec phi, 2 tan phi ) " where" theta +phi =(pi )/(2) , be two distinct points on the hyperbola (x^(2))/( 9) -(y^(2))/( 4) =1 . Then the coordinate of the points of intersection of the normals at P and Q is

The equation of the tangent at the point theta=(pi)/(3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

Find the focal distance of point P(theta) on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1