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(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

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

P_1(theta_1) and P_2(theta_2) are two points on the ellipse x^2/a^2+y^2/b^2=1 such that tan theta_1 tan theta_2 = (-a^2)/b^2 . The chord joining P_1 and P_2 of the ellipse subtends a right angle at the

The line 2x+y=3 cuts the ellipse 4x^(2)+y^(2)=5 at points P and Q. If theta is the angle between the normals at P and Q, then tantheta is equal to

Let P (a sec theta, b tan theta) and Q (a sec phi, b tan theta) where theta+phi=pi/2 , be two points on the hyperola x^(2)/a^(2)-y^(2)/b^(2)=1 , If (h,k) is the point of intersection of normals of P and Q then find the value of k.

The line 2x+y=3 cuts the ellipse 4x^(2)+y^(2)=5 at points P and Q. If theta is the acute angle between the normals at P and Q, then theta is equal to

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