From a point P(3, 3) on the circle `x^(2) + y^(2) =18` , two chords PQ and PR each of 2 units length are drawn on this circle. The value of cos `(/_QPR)` is equal to

From a point P(3, 3) on the circle x^(2)+y^(2)=18 two chords PQ and PR each of he length 2 units are drawn on this circle. Then, the value of the length PM is equal to (where, M is the midpoint of the line segment joining Q and R)

From a point A(1, 1) on the circle x^(2)+y^(2)-4x-4y+6=0 two equal chords AB and AC of length 2 units are drawn. The equation of chord BC, is

From the point A(0, 3) on the circle x^(2)+4x+(y-3)^(2)=0 , a chord AB is drawn and extended from point B to a point M such that AM = 2AB. The perimeter of the locus of M is ppi units. Then, the value of p is

A point P is 13 cm from the centre of the circle. The two tangent PQ and PR are drawn from the point P, The length of the tangent drawn from P to the circle is 12 cm. anglePQO is equal to ………. .

If a chord of contact of tangents drawn from a point P with respect to the circle x^(2)+y^(2)=9 is x=2, then area, in square units, of triangle formed by tangents drawn from P to the circle and their chord of contact is equal to

Tangents are drawn from points on the line x+2y=8 to the circle x^(2)+y^(2)=16. If locus of mid-point of chord of contacts of the tangents is a circles S, then radius of circle S will be

Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x - 4y -11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is: