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Question

If tan11a1=tan11x+tan11a2x+1, then x is



Your Answer
A
a/2
Your Answer
B
a3
Correct Answer
C
a2 - a + 1
Your Answer
D
a2 + a - 1

Solution

The correct option is B a2 - a + 1
We have, tan11a1=tan11x+tan11a2x+1
1a1=a2+1(a2+1).xx21
x2x(a21)+1(a1)(a2+1)=0
(x2a2)(a2+1)(xa)=0
(xa)(x+aa21)=0
x=a
or
a2a+1

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