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

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 tange of adot

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

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from which mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2 is/are (a)0 (b) 2 (c) 3 (d) 4

A tangent is drawn at any point P(t) on the parabola y^(2)=8x and on it is takes a point Q(alpha,beta) from which a pair of tangent QA and QB are drawn to the circle x^(2)+y^(2)=8 . Using this information, answer the following questions : The point from which perpendicular tangents can be drawn both the given circle and the parabola 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 (a)0 (b) 2 (c) 1 (d) 4

The locus of the point of intersection of perpendicular tangents to the hyperbola x^(2)/16 - y^(2)/9 = 1 is _____

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

Statement 1: If there exist points on the circle x^2+y^2=a^2 from which two perpendicular tangents can be drawn to the parabola y^2=2x , then ageq1/2 Statement 2: Perpendicular tangents to the parabola meet at the directrix.

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .