O(0,0) is the centre of a circle whose one chord is AB, where the points A and B are (8,6) and (10,0) respectively. OD is the perpendicular form the centre of the chord AB. Find the coordinates of the midpoint of OD.

Find the unit vector in the direction of vector vec(AB) where A and B are the points (6, 4,0) and (8, 0,4) respectively.

Seg AB is a dimeter of a circle with centre P(1,2), If A(-4,2) then find the co-ordinates of point B.

Point P is the centre of the circle and AB is a diameter. Find the c0-ordinates of point B if co-ordinates of point A and P are (2, - 3) and (-2, 0) respectively.

A circle with centre P . Line AB and line AC are tangents from point A at points B and C respectively . Which of the following is/ are true ?

The electric field at the origin is alo,n,g the positive x-axis. A small circle is drawn with the centre at the origin cutting the axes at points A, B, C and D having coordinates (a,0), (0,a), (-a,0),(0,-a) respectively. Out of the points on the periphery of the circle, the potential is minimum at

In figure, O is the centre of the circle with radius 5 cm. T is a point such that OT=13 cm and OT intersects the circle E, if AB is the tangent ot the circle at E, find the length of AB.

The centre of a circle is (0,0). One end point of a diameter is (5,-1) then the radius is .....

Find the equation of a circle which passes through the points (1,-2) and (4,-3) and whose centre lies on the line 3x+4y=0