PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ∠QSR = 30°, then what is the value (in degrees)of POR?

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in sq.cm) of the triangle?

If Cot θ = 21/20, then what is the value of Cosec θ?

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

What is the value of Cot 45° - (1/√3)Cosec 60°?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

ax + 5y = 8 has slope of -4/3. What is the value of a?

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?