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Q.

tan70o−tan20o2tan50o−tan50o−tan40o2tan10o2020=

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a

0

b

2

c

-1

d

1

answer is A.

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Detailed Solution

If A+B=90°, then tanA-tanB=2tan(A-B)∴tan70°-tan20°2tan50°=2tan50°2tan50°=1 and tan50°-tan40°2tan10°=2tan10°2tan10°=1 ∴tan70°-tan20°2tan50°-tan50°-tan40°2tan10°2020=1-12020=0
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