Mutually perpendicular tangents `T A and T B` are drawn to `y^2=4a x` . Then find the minimum length of `A B`

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

If there exists at least one point on the circle x^(2)+y^(2)=a^(2) from which two perpendicular tangents can be drawn to parabola y^(2)=2x , then find the values of a.

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 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

Two lines are drawn at right angles, one being a tangent to y^2=4a x and the other x^2=4b ydot Then find the locus of their point of intersection.

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

A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2dot Show that if the two tangents are mutually perpendicular, the locus of their point of intersection is a circle concentric with the given circles.

Find the angle between the tangents drawn to y^2=4x , where it is intersected by the line y=x-1.

A tangent is drawn to the parabola y^2=4a x at P such that it cuts the y-axis at Qdot A line perpendicular to this tangents is drawn through Q which cuts the axis of the parabola at R . If the rectangle P Q R S is completed, then find the locus of Sdot .

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

If the locus of the middle of point of contact of tangent drawn to the parabola y^2=8x and the foot of perpendicular drawn from its focus to the tangents is a conic, then the length of latus rectum of this conic is 9/4 (b) 9 (c) 18 (d) 9/2