O is the centre of this circle. Tangent drawn from a point P, touches the circle at Q. If PQ = 24 cm and OQ = 10 cm, then what is the value of OP? 

In Δ ABC, D and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm, AC = 5 cm and the area of trapezium ACED = 32 cm2, then what will be the area of Δ BDE?

The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of ∠EFA?

In a triangle, if three altitudes are equal, then the triangle is 

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

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

If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is

In ∆ABC, ∠C=90⁰, Point P and Q are on the sides AC and BC, respectively, such that  AP:PC=BQ:QC=1:2.Then, $${AQ^2+BP^2}\over AB^2$$  is equal to: