1. In the diagram shown, BC is tangent to circle A at point C. If AB = 17 and BC =15, then which of the
following is the length of the radius of circle A?
(1) 6
(2) 8
(3) 10
(4) 12

The length of radius of circle A is 8, If BC is tangent to circle A at point C and AB = 17 and BC =15.

Step-by-step explanation:

The given is,

                   BC is tangent to circle A at point C

                   AB = 17

                   BC =15

Step:1

             From the diagram,

             Tangent to the circle at a certain point and connected with center of circle, it makes right angle triangle.

             So, ABC is a right angled triangle,

            By Pythagorean theorem,

                          ......................(1)

            For the Triangle ABC,

                          .......................................(2)

            From given values,

                          AB = 17

                          BC = 15

           Equation (2) becomes,

           Take root on both sides,

                        AC =

                        AC = 8

           Where, AC = Radius of circle = 8

Result:

           The length of radius of circle A is 8, If BC is tangent to circle A at point C and AB = 17 and BC =15.

Step-by-step explanation:

JOIN  AC

NOW BY PYTHAORUS THEROEM ( BY TANGENT THEOREM)

THEREFORE RADIUS AC = 8CM

OPTION 2 IS COREECT

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)

#12 the answer is the third option