The number of distinct normal lines that can be drawn to the ellipse `(x^2)/(169)+(y^2)/(25)=1` from the point `P(0,6)` is (A) one (B) two (C) three (D) four

Find the number of distinct normals that can be drawn from (-2,1) to the parabola y^2-4x-2y-3=0

Number of points from where perpendicular tangents can be drawn to the curve x^2/16-y^2/25=1 is

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.

If normals are drawn to the ellipse x^2 + 2y^2 = 2 from the point (2, 3). then the co-normal points lie on the curve

If three distinct normals can be drawn to the parabola y^2-2y=4x-9 from the point (2a ,b) , then find the range of the value of adot

How many distinct real tangents that can be drawn from (0,-2) to the parabola y^2=4x ?

The number of normals to the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 from an external point is _______

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

Find the locus of point P such that the tangents drawn from it to the given ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 meet the coordinate axes at concyclic points.

If from a point P(0, alpha ) , two normals other than the axes are drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 , such that | alpha | < k , then the value of 4k is______