Q.

If tanA−tanB=2tanA−B then A,B can be

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a

45°,150

b

20°,60°

c

50°,40°

d

22°12,36°12

answer is C.

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Detailed Solution

We have tan(A-B)=tanA-tanB1+tanAtanB⇒tan(A-B)=tanA-tanB1+1 If A+B=90°⇒2tan(A-B)=tanA-tanB∴In the given options A=50°B=40°
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Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
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If tanA−tanB=2tanA−B then A,B can be