If `y=mx+c` is a tangent to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` then the point of contact is

The line y=mx+c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if c

If the line y=mx+c is a tangent to the ellipse x^(2)+2y^(2)=4 ,

If the line x cos alpha+y sin alpha=p touches the ellipse x^(2)/a^(2)+(y^(2))/(b^(2))=1 then the point of contact will be

if the line x- 2y = 12 is tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(b^(2))=1 at the point (3,(-9)/(2)) then the length of the latusrectum of the ellipse is

If the line y=x+sqrt(3) touches the ellipse (x^(2))/(4)+(y^(2))/(1)=1 then the point of contact is

From a point P tangents are drawn to the elipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1.1f the chord of contact touches the ellipse (x^(2))/(c^(2))+(y^(2))/(a^(2))=1, then the locus of P is

If y = mx + c is a tangent to the ellipse x^(2) + 2y^(2) = 6 , them c^(2) =

the locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

if the line y=2x+c be a tangent to the ellipse (x^(2))/(8)+(y^(2))/(4)=1, then c is equal to

Find the locus of the point of intersection of the tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) if the difference of the eccentric angles of their points of contact is 2 alpha.