Secant AC and secant AE intersects in point A. Points of intersections of the circle and secants are B and D respectively. If CB=5, AB=7, EA=20. Determine ED-AD.

In the adjoining figure, chords CB and ED intersect each other in point A in the exterior of the circle. IF CB=5,AB=7,EA=20 and IF ED exceeds AD, determine ED-AD.

In the given figure ,secants AP and CP intersect in point P. If AP=12,PB=5,CP=20, then DP=

In the adjoining figure, two circles intersect each other at points A and E. Their common secant through E intersects the circle at points B and D. The tangents of the circles at point B and D intersect each other at point C. Prove that square ABCD is cyclic.

In the adjoining figure ,two circles intersect at points M and N. | Secants drawn through M and N intersect the circles at points R,S and P,Q respectively. Prove that: seg SQ || seg RP.

If the co-ordinates of points A andB are (-5,0) and (2,0) respectively, then find d (A,B)

A line passes through the point of intersection of 2x +y=5 and x+ 3y+8=0 and paralled to the 3x+4y = 7 is

Secants AB and CD are intersecting in point Q. m(arc AD)=25^@ and m(arc BC)=36^@ , then find /_BQC

Draw the graph of x+y=6 which intersects the X-axis and Y-axis at A and B respectively. On the same graph paper, draw the graph of 2x-y=3 which intersects the X-axis and Y-axis at C and D respectively. E is the point of intersection of both the graphs. Find the areas of /_\ ECA /_\ EBD.

Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which intersect the axis of the parabola at A and B respectively. If C is the centre of the circle through the points P,A and B and angle CPB=theta then the value of tan theta is