P and Q are centres of two circles, intersecting at B and C, and ACD is a striaght line.
If `angleAPB = 150^@` and `angleBQD = x^@`, find the value of x.

Two congruent circles with centres C and O' intersect at A and B. If angleAO'B = 50^@ , then find angleACB

If O is the centre of the circle, find the value of x in each of the following

Two circles intersect at A and and AC,AD are respectively the diameter of the circle . Prove that the points C,B and D are collinear.

A circle arc of radius 1 subtends an angle of x radians as shown in figure. The centre of the circle is O and the point C is the intersection of two tangent lines at A and B . Let T(x) be the area of DeltaABC and S(x) be the area of shaded region. lim_(xto0)(T(x))/(x^(3)) is

A circle arc of radius 1 subtends an angle of x radians as shown in figure. The centre of the circle is O and the point C is the intersection of two tangent lines at A and B. Let T(x) be the area of DeltaABC and S(x) be the area of shaded region. lim_(xto0)(S(x))/x is

If O is the centre of a circle, find the value of x in each of the following figures

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Find the equation of the circle which touches the coordinate axes and whose centre lies on the line x-2y=3.

Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x . They intersect at P and Q in first and fourth quadrant respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S. The radius of the circumcircle of the triangle PRS is-

A point P moves on a plane (x)/(a)+(y)/(b)+(z)/(c)=1. A plane through P and perpendicular to OP meets the coordinate axes at A, B and C.If the parallel to the planes x=0,y=0 and z=0, respectively, intersect at Q, find the locus of Q.