If the orthocenter and the centroid of a triangle are the same, then the triangle is:

If ABC is an equilateral triangle and D is a point on BC such that AD⊥BC, then 

AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. If ∠CAB = 34°, then measure of ∠CBA is

In ∆PQR, O is the incentre and ∠P = 42°. Then what is the measure of ∠QOR?

If C₁, C₂ be the centres of rwo circles and r₁, r₂ be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.

A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is

If in a triangle, the circumcenter, incentre, centroid and orthocenter coincide, then the triangle is

Angle subtended by a chord AB on the centre of the circle is 140 degree. What will be the angle subtended by the chord AB on the major are of the circle?