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Find The Length Of Dc (Two Very Important Question From Circle)

Sujoy Das
06/02/2018 0 0

Questions:

 

                          

Solution:

Q.18

Q.19

Answer = 32

In radius = 4

Let tangents fro A be p, tangents from B be q and tangents from C be r.

So, AB+BC-AC = 8. q+q = 8, q = 4.

Same point equal tangent.

So p/(p+4) = 1/4

p = 4/3.

AB^2+ BC^2 = AC^2

AB = p+q+4= 4/3+8 = 28/3

AC = (16/3 +r)

BC = (4+r)

So 784/9 + 16+ 8r = 256/9 + 32/3 r

672/9 = 24/9 r

r = 28.

So BC = q+r = 28+4 = 32

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