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

AB is a chord of a circle in minor segment with center O.C is a point on the minorarc of the circle between the points A and B. The tangents to the circle at A and B meet at the point P. If ∠ACB = 102⁰ , then what is the measure of ∠APB?

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then.

Let ABC be an equilateral triangle and AX, BY, CZ be the altitudes. Then the right statement out of the four given responses is

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

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 

Point P lies outside a circle with centre O. Tangents PA and PB are drawn to meet the circle at A and respectively. If ∠APB =80⁰, then ∠OAB is is equal to: