Two circles of equal radii touch externally at a point P . Form a point T on the target at P target TQ and TR are drawn to the circles with points of contact Q and R respectively. The relations of TQ and TR is
A
T = TR
B
TQ> TR
C
TQ = TR
D
TQ = 2 Tk.
Correct Answer: TQ = TR
TR, TP are two tangents drawn to a bigger circle from an external point T. we know that, length of tangents drawn from external point to circle are equal ∴TR = TP ___(i) Similarly TP, TQ are two tangent drawn to a smaller circle from an external point T. Again we have TP = TQ __(ii) From (i) & (ii), we have TR = TQ