In a circle with centre 'O' . `bar(AB)` is a chord and 'M' is its midpoint . Now prove that `OM` is perpendicular to `AB `

In the adjacent figure, AB is a chord of circle with centre O. CD is the diameter perpendicualr to AB. Show that AD = BD

Draw a circle with centre C and radius 3.4 cm. Draw any chord AB. Construct the perpendicular bisector of bar(AB) and examine if it passes throught C.

Draw a circle with centre C and radius 3.4 cm. Draw any chord bar(AB) . Construct the perpendicular bisector of bar(AB) and examine if it passes through C. Repeat Queston 6, bar(AB) happens to be a diameter.

In the given figure, AD is a diameter of a circle with centre O and AB is a tangent at A. C is a point on the circle such that DC produced intersects the tangent at B and |__ABD=50^(@) . Find |__COA .

In the given figure 4.13 ,xy and x'y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting xy at A and x'y' at B. Prove that angle AOB =90^@ .

In the given figure ,XY and XY are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X'Y' ar B.Prove that angleAOB=90^(@)

If abs(vec a +vec b) = abs(vec a -vec b) prove that a and b are perpendicular.

In the figure, O is the centre of the circle and AB = CD. OM is perpendicular on bar(AB) and bar(ON) is perpendicular on bar(CD) . Then prove that OM = ON.

O is the centre of a circle ,AB is a chord .From the figure , angleACB is:

In the given figure AB = 8 cm, M is the mid-point of AB. Semi-circles are drawn on Ab with AM and MB as a diameters. A circle with centre 'O' touches all three semi-circles as shown. Prove that radius of this circle is (1)/(6) AB.