A line meets the co-ordinate axes in A and B. A circle is circumscribed about the triangle OAB. If `d_1` and `d_2` are the distance of the tangent to the circle at the origin O from the points A and B, respectively, then the diameter of the circle is

A line 2x + y = 1 intersect co-ordinate axis at points A and B . A circle is drawn passing through origin and point A & B . If perpendicular from point A and B are drawn on tangent to the circle at origin then sum of perpendicular distance is (A) 5/sqrt2 (B) sqrt5/2 (C) sqrt5/4 (D) 5/2

The length of the tangent from a point at a distance 13cm. From the centre of a circle with diameter 10cm. Is

The distance of the point from the centre of a circle with diameter of 16 cm is 17 cm. Then the length of the tangent from the point to the circle is

A point O is the centre of a circle circumscribed about a triangle A B Cdot Then vec O Asin2A+ vec O Bsin2B+ vec O Csin2C is equal to

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

AB is a diameter of a circle with centre O , P is any point on the circle, the tangent drawn through the point P intersects the two tangents drawn through the points A and B at the points Q and R respectively. If the radius of the circle be r , then prove that PQ.PR=r^(2) .

Length of a tangent segment drawn from a point which is at a distance 12.5 cm from the centre of a circle is 12 cm, find the diameter of the circle.

The radius of a circle with centre O is 5 cm. The length of the tangent to the circle from the external point is 12 cm. Find the distance of that point from the centre.

A circle with centre O, a point P is 25 cm away from the centre of the circle and the length of the tangent drawn from point P to the circle is 10cm. Find the length of the diametre of the circle.

O is the centre of a circle. An external point P is 26 cm away from the centre of the circle and the length of the tangent (PT) drawn from the point P to the circle at T is 10 cm. Calculate the length of the diameter of the circle.