Find the position of the point (4,-3) relative to the ellipse `5x^(2)+7y^(2)=140`.

Find the position of the point (5, -4) relative to the hyperbola 9x^(2)-y^(2)=1 .

The point (4,-3) with respect to the ellipse 4 x^(2)+5 y^(2)=1

Find the position of the point (-2,2) with respect to the parabola y^2-4y+9x+13=0 .

The angle between the pair of tangents drawn from the point (1,2) to the ellipse 3 x^(2)+2 y^(2)=5 is

The equations of the directrices of the ellipse 3 x^(2)+4 y^(2)+6 x-8 y-5=0 are

Find the equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which are perpendicular to the line y+2x=4 .

The locus of the point of intersection of the perpendicular tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

Find the sum of the focal distance of any point on the ellipse 4x^2+9y^2=36 .

The area of the quadrilateral formed by the tangents at the end points of latus rectum to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 is

Find the equation of line passing through (4, 2) and parallel to the line 5x-7y+11=0