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Question

If the direct common tangents of the circles x2+y2=1 and (x5)2+y2=4 intersect each others at point D and the transverse common tangents to them intersect each other at T, then DT is equal to

A
5 units
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B
103 units
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C
203 units
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D
7 units
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Solution

The correct option is C 203 units
C1TC2T=12(1×5+2×01+2,1×0+2×01+2)T(53,0)C1DC2D=12(1×52×012,1×02×012)D(5,0)Now,DT5+53203Hence,optionCisthecorrectanswer.
1216606_1304444_ans_51d85036b79a4003942ff44e0a351080.PNG

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