Find the condition so that the line `px + qy = r` intersects the ellipse `x^2/a^2+y^2/b^2=1` in points whose eccentric angles differ by `pi/4`.

If the line Ix + my +n=0 cuts the ellpse (x^(2))/(a^(2))+(Y^(2))/(b^(2))=1 in point eccentric angles differ by pi//2 , then

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

If the line px+gy=r intersects the ellipse x^(2)+4y^(2)=4 in points,whose eccentric angles differ by (pi)/(3), then r^(2) is equal to (A)(3)/(4)(4p^(2)+q^(2))(B)(4)/(3)(4p^(2)+q^(2))(C)(2)/(3)(4p^(2)+q^(2))(D)(3)/(4)(p^(2)+4q^(2))

The points on the ellipse (x^(2))/(25)+(y^(2))/(9)=1 Whose eccentric angles differ by a right angle are

If the line lx+my+n=0 cuts the ellipse ((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1 at points whose eccentric angles differ by (pi)/(2), then find the value of (a^(2)l^(2)+b^(2)m^(2))/(n^(2))

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 the point of intersection of tangents of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at two points whose eccentric angles differ by (pi)/(2) is an ellipse whose semi-axes are: (A) sqrt(2)a,sqrt(2)b(B)(a)/(sqrt(2)),(b)/(sqrt(2))(C)(a)/(2),(b)/(2)(D)2a,2b

Find the locus of the foot of perpendicular from the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 on the chord joining the points whose eccentric angles differ by (pi)/(2)