The locus of the perpendiculars drawn from the point `(a, 0)` on tangents to the circlo `x^2+y^2=a^2` is

The locus of the foot of the perpendicular drawn from the centre on any tangent to the ellipse x^2/25+y^2/16=1 is:

The product of the perpendiculars drawn from the point (1,2) to the pair of lines x^(2)+4xy+y^(2)=0 is

Locus of foot of perpendicular drawn from the centre (0,0) to any tangent on the ellipse kx^(2)+3y^(2)=2 is 3kx^(2)+4y^(2)-6(x^(2)+y^(2))^(2)=0 then the value of (1)/(e^(2)) ( where e is eccentricity of the ellipse) is ......

Find the locus of the foot of the perpendicular drawn from the point (7,0) to any tangent of x^(2)+y^(2)-2x+4y=0

The locus of the foot of the perpendicular drawn from the origin to any tangent to the hyperbola (x^(2))/(36)-(y^(2))/(16)=1 is

The locus of foot of the perpendiculars drawn from the vertex on a variable tangent to the parabola y^(2)=4ax is

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Show that the locus of the foot of the perpendicular drawn from focus to a tangent to the hyperbola x^2/a^2 - y^2/b^2 = 1 is x^2 + y^2 = a^2 .

If the locus of the foot of the perpendicular drawn from centre upon any tangent to the ellipse (x^(2))/(40)+(y^(2))/(10)=1 is (x^(2)+y^(2))^(2)=ax^(2)+by^(2) , then (a-b) is equal to