Consider a curve `C : y^2-8x-2y-15=0` in which two tangents `T_1a n dT_2` are drawn from `P(-4,1)` . Statement 1: `T_1a n dT_2` are mutually perpendicular tangents. Statement 2: Point `P` lies on the axis of curve `Cdot`

Mutually perpendicular tangents T Aa n dT B are drawn to y^2=4a x . Then find the minimum length of A Bdot

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

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

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.

The point of curve y= 2x^(2) - 6x -4 at which the tangent is parallel to x-axis is

To the circle x^(2)+y^(2)=4 , two tangents are drawn from P(-4,0) , which touch the circle at T_(1) and T_(2) . A rhomus PT_(1)P'T_(2) s completed. If P is taken to be at (h,0) such that P' lies on the circle, the area of the rhombus 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 tange of adot

If tangents drawn from the point (a ,2) to the hyperbola (x^2)/(16)-(y^2)/9=1 are perpendicular, then the value of a^2 is _____

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Consider a curve C : y=cos^(-1)(2x-1) and a straight line L :2p x-4y+2pi-p=0. Statement 1: The set of values of p for which the line L intersects the curve at three distinct points is [-2pi,-4]dot Statement 2: The line L is always passing through point of inflection of the curve Cdot