If aline segment joining two points subtendes two angles at two other points on the same side of it then, point are not concylic.

If the line segment joining two points subtends equal angles at two other points on the same side, then the points are ………..

If the line segment joining two points subtends equal at two other points on the same side, then the four points are ___________

Show that the mid-point of the line segment joining the points (5, 7) and (3, 9) is also the mid-point of the line segment joining the points (8, 6) and (0, 10).

Four points are such that the line joining any two points is perpendicular to the line joining other two points. If three point out of these lie on a rectangular hyperbola, then the fourth point will lie on

If the line - segment joining the points A(x_(1),y_(1))andB(x_(2),y_(2)) subtends an angle alpha at the origin O, then find the value of cosalpha .

What is the phase difference between any two points on the same wavefront?

If the segments joining the points A(a , b)a n d\ B(c , d) subtends an angle theta at the origin, prove that : costheta=(a c+b d)/(sqrt((a^2+b^2)(c^2+d^2)))

Two chords AC and BD of a circle intersect each other at the point O. If two tangents drawn at the points A and B intersect each other at the point P and two tangents drawn at the points C and D intersect at the point Q, prove that angle P+ angle Q =2 angle BOC. [GP-X]

In Delta ABC,AB= AC, BE and CF are resepectively the bisectors of angle ABC and angle ACB and itersect the sides AC and AB at the points E and F resepectively. Then four points B,C,E,F are not concylic.

Prove that if two tangents are drawn to a circle from a point outside it, then the line segments joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.