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

There exist two points P and Q on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 such that PObotOQ , where O is the origin, then the number of points in the xy -plane from where pair of perpendicular tangents can be drawn to the hyperbola , is

Column I, Column II Points from which perpendicular tangents can be drawn to the parabola y^2=4x , p. (-1,2) Points from which only one normal can be drawn to the parabola y^2=4x , q. (3, 2) Point at which chord x-y-1=0 of the parabola y^2=4x is bisected., r. (-1,-5) Points from which tangents cannot be drawn to the parabola y^2=4x , s. (5,-2)

Number of perpendicular tangents that can be drawn on the ellipse (x^(2))/(16)+(y^(2))/(25)=1 from point (6, 7) is

If eight distinct points can be found on the curve |x|+|y|=1 such that from eachpoint two mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2, then find the range of adot

Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169 , Statement I The tangents are mutually perpendicular Statement, ll The locus of the points frorn which mutually perpendicular tangents can be drawn to the given circle is x^2 +y^2=338

The points on the ellipse (x^(2))/(2)+(y^(2))/(10)=1 from which perpendicular tangents can be drawn to the hyperbola (x^(2))/(5)-(y^(2))/(1) =1 is/are

Number of point (s) outside the hyperbola x^(2)/25 - y^(2)/36 = 1 from where two perpendicular tangents can be drawn to the hyperbola is (are)

Number of points on the ellipse (x^(2))/(25) + (y^(2))/(16) =1 from which pair of perpendicular tangents are drawn to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 is

The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which a pair of perpendicular tangents is drawn to the ellipse (x^2)/(16)+(y^2)/9=1 is 0 (b) 2 (c) 1 (d) 4