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In the figure, if D is the mid-point of BC, then what will be the value of $tan x ° tan y °$ ?

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-1

answer is D.

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Detailed Solution

Given that,
D is the midpoint of BC and

tan x ° tan y °

∴ B D = 2 C D

Now,

tan x ° = A C C D

tan y ° = A C B C

tan y ° = A C 2 C D

tan x ° tan y ° = A C C D A C 2 C D

tan x ° tan y ° = 2

Thus the value will be

2

.
Therefore the correct option is 4.

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