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`

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

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

Find the point on the curve y=x^(2)+1 at which the tangent drawn makes an angle of 45^(@) from X-axis.

Tangents are drawn from the point P(-sqrt(3),sqrt(2)) to an ellipse 4x^(2)+y^(2)=4 Statement-1: The tangents are mutually perpendicular.and Statement-2: The locus of the points can be drawn togiven ellipse is x^(2)+y^(2)=5

From a point on x+2y-7=0 tangents are drawn to curve 13(x^(2)+y^(2)-2x+1)=(2x+3y-1)^(2) are perpendicular then the point

A tangent and normal are drawn to a curve y^2=2x at A(2,2). Tangent cuts x-axis at point T and normal cuts curve again at P . Then find the value of DeltaATP

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 a.

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