Find the locus of he foot fo the perpendicular draw from the centre upon any tangent to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`

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.

The locus of the foot of perpendicular from the forcus on any tangent to y^(2) = 4ax is

Locus of perpendicular from center upon normal to the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 is

the locus of the foot of perpendicular drawn from the centre of the ellipse x^2+3y^2=6 on any point:

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

Find the foot of the perpendicular from the point (2,4) upon x+y=1.

Statement 1 : For the ellipse (x^2)/5+(y^2)/3=1 , the product of the perpendiculars drawn from the foci on any tangent is 3. Statement 2 : For the ellipse (x^2)/5+(y^2)/3=1 , the foot of the perpendiculars drawn from the foci on any tangent lies on the circle x^2+y^2=5 which is an auxiliary circle of the ellipse.

The locus of the foot of the perpendicular from the center of the hyperbola x y=1 on a variable tangent is (x^2-y^2)=4x y (b) (x^2-y^2)=1/9 (x^2-y^2)=7/(144) (d) (x^2-y^2)=1/(16)

Locus of the feet of the perpendiculars drawn from either foci on a variable tangent to the hyperbola 16y^2 -9 x^2 = 1 is

Find the length and the foot of the perpendicular from the point (7,14 ,5) to the plane 2x+4y-z=2.