`triangleABC`में की समांतर रेखा AB` एवं AC को क्रमश: P एवं Q पर काटती है । यदिAB:AP=5:3 है, तो AQ:QC क्या होगी ?

Options

A. `3:2`
B. `1:2`
C. `3:5`
D. `2:3`

Answer

A

Explanation

Let radius of 3 circles be `r_(1), r_(2) and r_(3)` So,
`r_(1)+r_(2) = 10`
`r_(2) + r_(3)=8`
`r_(3) + r_(1) = 6`
After solving, we get
`r_(1)=4, r_(2)=6, r_(3) = 2`