Let the tangent drawn to the circle, x^2+y^2=16 from the point p(0,h) meet the x-axis at point A and B. If the area of triangle APB is minimum, then h is equal to:

Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tangents meet the x-a xi s at Aa n dB . If the area of triangle P A B is minimum, then h=12sqrt(2) (b) h=6sqrt(2) h=8sqrt(2) (d) h=4sqrt(2)

Find the equations of the tangents to the circle x^(2) + y^(2)=16 drawn from the point (1,4).

Tangents are drawn to the circle x^2 + y^2 = 32 from a point A lying on the x-axis. The tangents cut the y-axis at points B and C , then the coordinate(s) of A such that the area of the triangle ABC is minimum may be: (A) (4sqrt(2), 0) (B) (4, 0) (C) (-4, 0) (D) (-4sqrt(2), 0)

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

Tangents PA and PB are drawn to the circle x^2+y^2=4 ,then locus of the point P if PAB is an equilateral triangle ,is equal to

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is x^2+y^2+3x+4y=0 x^2+y^2=36 x^2+y^2=16 x^2+y^2-3x-5y=0

Tangents drawn to circle (x-1)^2 +(y -1)^2= 5 at point P meets the line 2x +y+ 6= 0 at Q on the x axis. Length PQ is equal to

Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(-4,0) , The area of the quadrilateral PAOB , where O is the origin, is

A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touches the circle at point A. If the tangent passes through the point P(2, 1),then PA=

If the tangent to the ellipse x^2+2y^2=1 at point P(1/(sqrt(2)),1/2) meets the auxiliary circle at point R and Q , then find the points of intersection of tangents to the circle at Q and Rdot