Position of point and Find the no of tangents

Find the locus of the point of intersection of tangents to the ellipse if the difference of the eccentric angle of the points is (2 pi)/(3) .

Important points on eccentricity || Rectangular hyperbola || Condition OF tangency || Position OF a point || equation OF tangent

If the tangent to the ellipse x^(2)+2y^(2)=1 at point P((1)/(sqrt(2)),(1)/(2)) meets the auxiliary circle at point R and Q, then find the points of intersection of tangents to the circle at Q and R.

Hyperbola- Auxiliary circle || Eccentric angle || Position OF point || Equation OF tangent || Equation OF chord at A(α),B(β)

Tangents PQandPR are drawn at the extremities of the chord of the ellipse (x^(2))/(16)+(y^(2))/(9)=1, which get bisected at point P(1,1) .Then find the point of intersection of the tangents.

Find the inclination to the positive x-axis of the tangent to the curve 2y = 2-x^2 at the point (1, 1/2)

Auxiliary Circle | Parametric Form Position of Point with respect to Ellipse Tangent and Normal

Find the equation of tangent to the curve y= x^(3)-x , at the point at which slope of tangent is equal to zero.

Illustrations Based On Chord OF Contact Power OF Point || Relative Position OF two Circles and Common Tangents