Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary point P on the line x+y=1 . Then vertex of locus of midpoint of chord AB is

Tangents P A and P B are drawn to x^2+y^2=9 from any arbitrary point P on the line x+y=25 . The locus of the midpoint of chord A B is 25(x^2+y^2)=9(x+y) 25(x^2+y^2)=3(x+y) 5(x^2+y^2)=3(x+y) non eoft h e s e

Tangents are drawn to x^(2)+y^(2)=1 from any arbitrary point P on the line 2x+y-4=0 .Prove that corresponding chords of contact pass through a fixed point and find that point.

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 OB are drawn to the circle x^(2)+y^(2)=8 . Using this information, answer the following questions : The locus of the point of concurrecy of the chord of contact AB of the circle x^(2)+y^(2)=8 is

Tangents PA and PB are drawn to the circle (x-4)^(2)+(y-5)^(2)=4 from the point P on the curve y=sin x , where A and B lie on the circle. Consider the function y= f(x) represented by the locus of the center of the circumcircle of triangle PAB. Then answer the following questions. Which of the following is true ?

If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

Tangents PA and PB are drawn to x^(2) + y^(2) = 4 from the point P(3, 0) . Area of triangle PAB is equal to:-

Let the tangents PQ and PR are drawn to y^(2)=4ax from any point P on the line x+4a=0 . The angle subtended by the chord of contact QR at the vertex of the parabola y^(2)=4ax is