The tangents drawn from the point P to the ellipse `5x^(2) + 4y^(2) =20` are mutually perpendi­cular then P =

The slopes of the tangents drawn from (4, 1) to the ellipse x^(2)+2y^(2)=6 are

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

The equations of the tangents drawn from (2, 3) to the ellipse 9x^(2) + 16y^(2) = 144

The mid point of the chord 2x+5y=12 of the ellipse 4x^(2) + 5y^(2) = 20 is

Find the equations of the tangents drawn from (1 ,2 ) to the ellipse 3x^(2) + 2(y)^2 = 5 and also find angle between them

Angle between the tangents drawn from the point (5,4) to the ellipse (x^(2))/(25)+(y^(2))/(16) = 1 is

If the tangent from a point P to the circle x^(2)+y^(2)=1 is perpendicular to the tangent from P to the circle x^(2)+y^(2)=3 , then the locus of P is

The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are perpendicular to the line 3x-y+7 = 0 are