Answer:
a. x = 7
b. x = 2
Explanation:
a. As we know when two secants are drawn to a circle from an exterior point then the product of external segments and the total length of each secant are equal.
Here in the given question length of external segment is 5 and 6 and total length of the secants are (x+5) and (6+4) = 10
Now from the given statement
(x+5)×5 = 10×6 = 60
(x+5) = 60÷5 = 12
x = 12-5 =7
b. As we have done in part a. we will follow the same rule
(x+4)×4 = (5+3)×3 = 8×3 =24
x+4 =24÷4 = 6
x = 6 - 4 =2