Two tangetns from A and B which are lie on the circle intersect at the point P. If `angleAPB = 68^@` then find the measurement of `anglePAB`.

Two tangents to a circle at A and B intersect at a point P. If angleAPB = 68^@ then find anglePAB .

Two tangents drawn at the point A and B on a circle intersect each other at the point P. If angle APB=60^(@), then anglePAB=

Manas has drawn a circle with centre O of which AB is a chord. A tangent is drawn at the point B which intersects extended AO at the point. T. If angle BAT=21^(@), find the value of angle BTA.

The tangents at two points A and B on the circle with the centre O intersects at P, if in quadrilateral angleAOB : angleAPB = 5 : 1 , then the measure of angleAPB is____

In the adjoining figure , two circles intersect each other at the points P and Q. If angleQAD=80^(@)andanglePDA=84^(@) , then find the value of angleQBCandangleBCP

Two diagonals AC and BD of a cyclic quadrilateral ABCD intersect at P. If angleAPB = 68^@ and angleCBD =24^@ , then angleADB =

Prove that the two different circle can never intersect at more that two point .

Points A, B, C lie on the parabola y^2=4ax The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangle ABC and triangle PQR

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]

Two chords AB and CD of a circle intersect at the point P, which is inside the circle and O is the centre of the circle. If angleAOC = 55^@ , and angleBOD =45^@ , then angleAPC =