Ellipse- Tangents and equation OF chord at A(alpha),B(beta) and question base on these topic

Questions based on miscellaneous topics-1

Equation of chord joining Chord P(alpha) and Q(beta)

Equation of chord joining Chord P(alpha) and Q(beta)

Auxilliary circle position OF point || Line & ellipse || Equation OF chord joining p(alpha), Q (beta), tangents, normaL || Highlights

If alpha!=beta but alpha^(2)=5 alpha-3,beta^(2)=5 beta-3, then find the equation whose roots are (alpha)/(beta) and (beta)/(alpha)

Questions Based On Ellipse|OMR

If alpha1=beta but alpha^(2)=2 alpha-3;beta^(2)=2 beta-3 then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) is

Ellipse- Normal equation OF pair OF tangent || Equation OF chord OF ellipse whose middle point is given

If alpha-beta= constant,then the locus of the point of intersection of tangents at P(a cos alpha,b sin alpha) and Q(a cos beta,b sin beta) to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is a circle (b) a straight line an ellipse (d) a parabola