Intersection of Ellipse with Circle

Intersection of Ellipse with Ellipse

Intersection of Ellipse with Hyperbola

Intersection of Ellipse with other curve

Intersection of Ellipse with Parabola

Intersection of Hyperbola with Circle

Intersection of Parabola with Circle

Intersection of Hyperbola with Ellipse

Intersection of Parabola with ellipse

Condition of intersection of line and ellipse

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.