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) .

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

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

Tangents from an external point. Find the equations of the tangents to the circle x^(2) +y^(2)= 10 through the external point (4, - 2).

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 Rdot

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.

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 Rdot

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