In the above figure, PAB is the secant of the circle and PT is the tangent of the circle with center O. PO intersects the circumference of the circle at point X such that PA is the arithmetic mean of PT and PX. The radius of the circle is 6 cm and PO is 2 cm more than PT.

Q1. Find the length of the Cord AB.
a. 17/6 cm
b. 14/3 cm
c. 19/4 cm
d. Cant be determined

Q2.  Length of the line joining point B and T is
a. 13/4
b. 3
c. 5
d. None of the above

Q3. Find the length of the tangent PT.
a. 4 cm
b. 6 cm
c. 8 cm
d. 10 cm

Q4. Area of the region shaded with deep blue color is (in cm²)
a. 13/3 π
b. 89/8 π
c. 138/7 π
d. None of the above