CAT4MBA

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