circles and tangents

In the below figure PQ is a transverse common tangent of two circles with centers S and T such that PT:SQ=4:3 and
(RT-TP)/(RS+QS) = 8/9. It is also known that the length of the transverse tangent is 7sqrt6 cm

Q1. Find the radius of the circle with center at T?
a. 2
b. 3
c. 4.5
d. 3.5

Q2. Find the distance between the center of the two circles?
a. 10.5
b. 17.5
c. 19.5
d. 24.5

Q3. Find the radius of the smaller circle?
a. 1
b. 1.5
c. 2
d. None of these

Q4. What 'll be the length of the other tangent drawn from Q to the circle with center at T?
a. 2.3
b. 2.5
c. 2sqrt3
d. None of these


 

my answers

Q1. Find the radius of the circle with center at T?
a. 2
b. 3
c. 4.5
d. 3.5
ans: a

Q2. Find the distance between the center of the two circles?
a. 10.5
b. 17.5
c. 19.5
d. 24.5
ans: b

Q3. Find the radius of the smaller circle?
a. 1
b. 1.5
c. 2
d. None of these
ans: d

Q1. Find the radius of the

Q1. Find the radius of the circle with center at T?
a. 2
b. 3
c. 4.5
d. 3.5

ya ans is 2

Little STar

__________________

n/a

Q2. Find the distance between

Q2. Find the distance between the center of the two circles?
a. 10.5
b. 17.5
c. 19.5
d. 24.5

ya ans is 17.5

Little Star

__________________

n/a

Q2. Find the distance between

Q2. Find the distance between the center of the two circles?
a. 10.5
b. 17.5
c. 19.5
d. 24.5

ya ans is 17.5

Little Star

__________________

n/a

Q3. Find the radius of the

Q3. Find the radius of the smaller circle?
a. 1
b. 1.5
c. 2
d. None of these

ans is 1.5

Little Star

__________________

n/a

Q4. What 'll be the length of

Q4. What 'll be the length of the other tangent drawn from Q to the circle with center at T?
a. 2.3
b. 2.5
c. 2sqrt3
d. None of these

ans is 7sqrt6

Little Star

__________________

n/a

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